Finding the Fourth Proportional to 10,366,917,470.28, 14,306,244,258.32 and 5,609,088,951.09
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Solution
The fourth proportional to 10,366,917,470.28, 14,306,244,258.32 and 5,609,088,951.09 is: 7,740,487,645.53
Step by Step Solution
- Step 1: Write the proportion equation
10,366,917,470.28 : 14,306,244,258.32 = 5,609,088,951.09 : x - Step 2: Convert to fraction form
10,366,917,470.28/14,306,244,258.32 = 5,609,088,951.09/x - Step 3: Cross multiply
10,366,917,470.28x = 14,306,244,258.32 × 5,609,088,951.09 - Step 4: Simplify right side
10,366,917,470.28x = 80,244,996,600,937,463,808 - Step 5: Solve for x
x = 80,244,996,600,937,463,808/10,366,917,470.28 - Step 6: Final answer
x = 7,740,487,645.53
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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.