Finding the Fourth Proportional to 4,864,827,680.92, 7,297,815,471.18 and 3,645,744,542.20
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Solution
The fourth proportional to 4,864,827,680.92, 7,297,815,471.18 and 3,645,744,542.20 is: 5,469,046,936.32
Step by Step Solution
- Step 1: Write the proportion equation
4,864,827,680.92 : 7,297,815,471.18 = 3,645,744,542.20 : x - Step 2: Convert to fraction form
4,864,827,680.92/7,297,815,471.18 = 3,645,744,542.20/x - Step 3: Cross multiply
4,864,827,680.92x = 7,297,815,471.18 × 3,645,744,542.20 - Step 4: Simplify right side
4,864,827,680.92x = 26,605,970,924,037,206,016 - Step 5: Solve for x
x = 26,605,970,924,037,206,016/4,864,827,680.92 - Step 6: Final answer
x = 5,469,046,936.32
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.