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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×(1300/2-454)^2+1/12×(1600-200)×120^3+(1600-200)×120×(454-120/2)^2+(6.349-1)×4241×(1192-454)^2 .
    Question type: Mathematical calculation
    Solution:
          1/12×200×1300^3+200×1300×(1300/2-454)^2+1/12×(1600-200)×120^3+(1600-200)×120×(454-120/2)^2+(6.349-1)×4241×(1192-454)^2
        =1/12×200×1300^3+200×1300×196^2+1/12×(1600-200)×120^3+(1600-200)×120×(454-120/2)^2+(6.349-1)×4241×(1192-454)^2
        =1/12×200×1300^3+200×1300×196^2+1/12×1400×120^3+(1600-200)×120×(454-120/2)^2+(6.349-1)×4241×(1192-454)^2
        =1/12×200×1300^3+200×1300×196^2+1/12×1400×120^3+1400×120×(454-120/2)^2+(6.349-1)×4241×(1192-454)^2
        =1/12×200×1300^3+200×1300×196^2+1/12×1400×120^3+1400×120×394^2+(6.349-1)×4241×(1192-454)^2
        =1/12×200×1300^3+200×1300×196^2+1/12×1400×120^3+1400×120×394^2+5.349×4241×(1192-454)^2
        =1/12×200×1300^3+200×1300×196^2+1/12×1400×120^3+1400×120×394^2+5.349×4241×738^2
        =1/12×200×2197000000+200×1300×196^2+1/12×1400×120^3+1400×120×394^2+5.349×4241×738^2
        =1/12×200×2197000000+200×1300×38416+1/12×1400×120^3+1400×120×394^2+5.349×4241×738^2
        =1/12×200×2197000000+200×1300×38416+1/12×1400×1728000+1400×120×394^2+5.349×4241×738^2
        =1/12×200×2197000000+200×1300×38416+1/12×1400×1728000+1400×120×155236+5.349×4241×738^2
        =1/12×200×2197000000+200×1300×38416+1/12×1400×1728000+1400×120×155236+5.349×4241×544644
        =0.083333×200×2197000000+200×1300×38416+1/12×1400×1728000+1400×120×155236+5.349×4241×544644
        =16.6666×2197000000+200×1300×38416+1/12×1400×1728000+1400×120×155236+5.349×4241×544644
        =36616520200+200×1300×38416+1/12×1400×1728000+1400×120×155236+5.349×4241×544644
        =36616520200+260000×38416+1/12×1400×1728000+1400×120×155236+5.349×4241×544644
        =36616520200+9988160000+1/12×1400×1728000+1400×120×155236+5.349×4241×544644
        =36616520200+9988160000+0.083333×1400×1728000+1400×120×155236+5.349×4241×544644
        =36616520200+9988160000+116.6662×1728000+1400×120×155236+5.349×4241×544644
        =36616520200+9988160000+201599193.6+1400×120×155236+5.349×4241×544644
        =36616520200+9988160000+201599193.6+168000×155236+5.349×4241×544644
        =36616520200+9988160000+201599193.6+26079648000+5.349×4241×544644
        =36616520200+9988160000+201599193.6+26079648000+22685.109×544644
        =36616520200+9988160000+201599193.6+26079648000+12355308506.196001
        =46604680200+201599193.6+26079648000+12355308506.196001
        =46806279393.599998+26079648000+12355308506.196001
        =72885927393.600006+12355308506.196001
        =85241235899.796005

    Answer:1/12×200×1300^3+200×1300×(1300/2-454)^2+1/12×(1600-200)×120^3+(1600-200)×120×(454-120/2)^2+(6.349-1)×4241×(1192-454)^2=85241235899.796005


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