Finding the Fourth Proportional to 77,450,080,600.57, 116,208,912,565.91 and 27,121,636,724.90
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Solution
The fourth proportional to 77,450,080,600.57, 116,208,912,565.91 and 27,121,636,724.90 is: 40,694,288,325.69
Step by Step Solution
- Step 1: Write the proportion equation
77,450,080,600.57 : 116,208,912,565.91 = 27,121,636,724.90 : x - Step 2: Convert to fraction form
77,450,080,600.57/116,208,912,565.91 = 27,121,636,724.90/x - Step 3: Cross multiply
77,450,080,600.57x = 116,208,912,565.91 × 27,121,636,724.90 - Step 4: Simplify right side
77,450,080,600.57x = 3,151,775,910,807,812,964,352 - Step 5: Solve for x
x = 3,151,775,910,807,812,964,352/77,450,080,600.57 - Step 6: Final answer
x = 40,694,288,325.69
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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.