Finding the Fourth Proportional to 90,149,165,891.54, 135,228,097,872.13 and 29,642,103,841.91
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Solution
The fourth proportional to 90,149,165,891.54, 135,228,097,872.13 and 29,642,103,841.91 is: 44,464,585,776.55
Step by Step Solution
- Step 1: Write the proportion equation
90,149,165,891.54 : 135,228,097,872.13 = 29,642,103,841.91 : x - Step 2: Convert to fraction form
90,149,165,891.54/135,228,097,872.13 = 29,642,103,841.91/x - Step 3: Cross multiply
90,149,165,891.54x = 135,228,097,872.13 × 29,642,103,841.91 - Step 4: Simplify right side
90,149,165,891.54x = 4,008,445,319,468,970,147,840 - Step 5: Solve for x
x = 4,008,445,319,468,970,147,840/90,149,165,891.54 - Step 6: Final answer
x = 44,464,585,776.55
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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.