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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 1/12×200×1300^3+200×1300×(1300/2-458)^2+1/12×(1600-200)×120^3+(1600-200)×120×(460-120/2)^2+(6.349-1)×4241×(1192-460)^2 .
    Question type: Mathematical calculation
    Solution:
          1/12×200×1300^3+200×1300×(1300/2-458)^2+1/12×(1600-200)×120^3+(1600-200)×120×(460-120/2)^2+(6.349-1)×4241×(1192-460)^2
        =1/12×200×1300^3+200×1300×192^2+1/12×(1600-200)×120^3+(1600-200)×120×(460-120/2)^2+(6.349-1)×4241×(1192-460)^2
        =1/12×200×1300^3+200×1300×192^2+1/12×1400×120^3+(1600-200)×120×(460-120/2)^2+(6.349-1)×4241×(1192-460)^2
        =1/12×200×1300^3+200×1300×192^2+1/12×1400×120^3+1400×120×(460-120/2)^2+(6.349-1)×4241×(1192-460)^2
        =1/12×200×1300^3+200×1300×192^2+1/12×1400×120^3+1400×120×400^2+(6.349-1)×4241×(1192-460)^2
        =1/12×200×1300^3+200×1300×192^2+1/12×1400×120^3+1400×120×400^2+5.349×4241×(1192-460)^2
        =1/12×200×1300^3+200×1300×192^2+1/12×1400×120^3+1400×120×400^2+5.349×4241×732^2
        =1/12×200×2197000000+200×1300×192^2+1/12×1400×120^3+1400×120×400^2+5.349×4241×732^2
        =1/12×200×2197000000+200×1300×36864+1/12×1400×120^3+1400×120×400^2+5.349×4241×732^2
        =1/12×200×2197000000+200×1300×36864+1/12×1400×1728000+1400×120×400^2+5.349×4241×732^2
        =1/12×200×2197000000+200×1300×36864+1/12×1400×1728000+1400×120×160000+5.349×4241×732^2
        =1/12×200×2197000000+200×1300×36864+1/12×1400×1728000+1400×120×160000+5.349×4241×535824
        =0.083333×200×2197000000+200×1300×36864+1/12×1400×1728000+1400×120×160000+5.349×4241×535824
        =16.6666×2197000000+200×1300×36864+1/12×1400×1728000+1400×120×160000+5.349×4241×535824
        =36616520200+200×1300×36864+1/12×1400×1728000+1400×120×160000+5.349×4241×535824
        =36616520200+260000×36864+1/12×1400×1728000+1400×120×160000+5.349×4241×535824
        =36616520200+9584640000+1/12×1400×1728000+1400×120×160000+5.349×4241×535824
        =36616520200+9584640000+0.083333×1400×1728000+1400×120×160000+5.349×4241×535824
        =36616520200+9584640000+116.6662×1728000+1400×120×160000+5.349×4241×535824
        =36616520200+9584640000+201599193.6+1400×120×160000+5.349×4241×535824
        =36616520200+9584640000+201599193.6+168000×160000+5.349×4241×535824
        =36616520200+9584640000+201599193.6+26880000000+5.349×4241×535824
        =36616520200+9584640000+201599193.6+26880000000+22685.109×535824
        =36616520200+9584640000+201599193.6+26880000000+12155225844.816
        =46201160200+201599193.6+26880000000+12155225844.816
        =46402759393.599998+26880000000+12155225844.816
        =73282759393.600006+12155225844.816
        =85437985238.416

    Answer:1/12×200×1300^3+200×1300×(1300/2-458)^2+1/12×(1600-200)×120^3+(1600-200)×120×(460-120/2)^2+(6.349-1)×4241×(1192-460)^2=85437985238.416


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