Finding the Fourth Proportional to 291,381,770,416.62, 402,079,858,342.70 and 161,167,822,449.48
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Solution
The fourth proportional to 291,381,770,416.62, 402,079,858,342.70 and 161,167,822,449.48 is: 222,396,669,246.79
Step by Step Solution
- Step 1: Write the proportion equation
291,381,770,416.62 : 402,079,858,342.70 = 161,167,822,449.48 : x - Step 2: Convert to fraction form
291,381,770,416.62/402,079,858,342.70 = 161,167,822,449.48/x - Step 3: Cross multiply
291,381,770,416.62x = 402,079,858,342.70 × 161,167,822,449.48 - Step 4: Simplify right side
291,381,770,416.62x = 64,802,335,219,888,349,511,680 - Step 5: Solve for x
x = 64,802,335,219,888,349,511,680/291,381,770,416.62 - Step 6: Final answer
x = 222,396,669,246.79
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.