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Mathematical calculation:
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    Current location:Mathematical operation > History of Mathematical Computation > Answer
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 1/12×200×1500^3+200×1500×(1500/2-540)^2+1/12×(1600-200)×120^3+(1600-200)×120×(540-120/2)^2+(6.349-1)×3770×(1403-540)^2 .
    Question type: Mathematical calculation
    Solution:
          1/12×200×1500^3+200×1500×(1500/2-540)^2+1/12×(1600-200)×120^3+(1600-200)×120×(540-120/2)^2+(6.349-1)×3770×(1403-540)^2
        =1/12×200×1500^3+200×1500×210^2+1/12×(1600-200)×120^3+(1600-200)×120×(540-120/2)^2+(6.349-1)×3770×(1403-540)^2
        =1/12×200×1500^3+200×1500×210^2+1/12×1400×120^3+(1600-200)×120×(540-120/2)^2+(6.349-1)×3770×(1403-540)^2
        =1/12×200×1500^3+200×1500×210^2+1/12×1400×120^3+1400×120×(540-120/2)^2+(6.349-1)×3770×(1403-540)^2
        =1/12×200×1500^3+200×1500×210^2+1/12×1400×120^3+1400×120×480^2+(6.349-1)×3770×(1403-540)^2
        =1/12×200×1500^3+200×1500×210^2+1/12×1400×120^3+1400×120×480^2+5.349×3770×(1403-540)^2
        =1/12×200×1500^3+200×1500×210^2+1/12×1400×120^3+1400×120×480^2+5.349×3770×863^2
        =1/12×200×3375000000+200×1500×210^2+1/12×1400×120^3+1400×120×480^2+5.349×3770×863^2
        =1/12×200×3375000000+200×1500×44100+1/12×1400×120^3+1400×120×480^2+5.349×3770×863^2
        =1/12×200×3375000000+200×1500×44100+1/12×1400×1728000+1400×120×480^2+5.349×3770×863^2
        =1/12×200×3375000000+200×1500×44100+1/12×1400×1728000+1400×120×230400+5.349×3770×863^2
        =1/12×200×3375000000+200×1500×44100+1/12×1400×1728000+1400×120×230400+5.349×3770×744769
        =0.083333×200×3375000000+200×1500×44100+1/12×1400×1728000+1400×120×230400+5.349×3770×744769
        =16.6666×3375000000+200×1500×44100+1/12×1400×1728000+1400×120×230400+5.349×3770×744769
        =56249775000+200×1500×44100+1/12×1400×1728000+1400×120×230400+5.349×3770×744769
        =56249775000+300000×44100+1/12×1400×1728000+1400×120×230400+5.349×3770×744769
        =56249775000+13230000000+1/12×1400×1728000+1400×120×230400+5.349×3770×744769
        =56249775000+13230000000+0.083333×1400×1728000+1400×120×230400+5.349×3770×744769
        =56249775000+13230000000+116.6662×1728000+1400×120×230400+5.349×3770×744769
        =56249775000+13230000000+201599193.6+1400×120×230400+5.349×3770×744769
        =56249775000+13230000000+201599193.6+168000×230400+5.349×3770×744769
        =56249775000+13230000000+201599193.6+38707200000+5.349×3770×744769
        =56249775000+13230000000+201599193.6+38707200000+20165.73×744769
        =56249775000+13230000000+201599193.6+38707200000+15018810566.369999
        =69479775000+201599193.6+38707200000+15018810566.369999
        =69681374193.600006+38707200000+15018810566.369999
        =108388574193.600006+15018810566.369999
        =123407384759.970001

    Answer:1/12×200×1500^3+200×1500×(1500/2-540)^2+1/12×(1600-200)×120^3+(1600-200)×120×(540-120/2)^2+(6.349-1)×3770×(1403-540)^2=123407384759.970001


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