Finding the Fourth Proportional to 4,229,751,165.89, 5,836,705,769.99 and 2,324,412,456.17
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Solution
The fourth proportional to 4,229,751,165.89, 5,836,705,769.99 and 2,324,412,456.17 is: 3,207,496,389.90
Step by Step Solution
- Step 1: Write the proportion equation
4,229,751,165.89 : 5,836,705,769.99 = 2,324,412,456.17 : x - Step 2: Convert to fraction form
4,229,751,165.89/5,836,705,769.99 = 2,324,412,456.17/x - Step 3: Cross multiply
4,229,751,165.89x = 5,836,705,769.99 × 2,324,412,456.17 - Step 4: Simplify right side
4,229,751,165.89x = 13,566,911,594,740,695,040 - Step 5: Solve for x
x = 13,566,911,594,740,695,040/4,229,751,165.89 - Step 6: Final answer
x = 3,207,496,389.90
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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.