Finding the Fourth Proportional to 2,416,790,648,413, 3,335,154,128,372.20 and 1,319,373,258,168.70
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Solution
The fourth proportional to 2,416,790,648,413, 3,335,154,128,372.20 and 1,319,373,258,168.70 is: 1,820,725,833,962.79
Step by Step Solution
- Step 1: Write the proportion equation
2,416,790,648,413 : 3,335,154,128,372.20 = 1,319,373,258,168.70 : x - Step 2: Convert to fraction form
2,416,790,648,413/3,335,154,128,372.20 = 1,319,373,258,168.70/x - Step 3: Cross multiply
2,416,790,648,413x = 3,335,154,128,372.20 × 1,319,373,258,168.70 - Step 4: Simplify right side
2,416,790,648,413x = 4,400,313,168,845,220,412,915,712 - Step 5: Solve for x
x = 4,400,313,168,845,220,412,915,712/2,416,790,648,413 - Step 6: Final answer
x = 1,820,725,833,962.79
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.