Finding the Fourth Proportional to 2,703,982,117.16, 3,722,822,842.25 and 2,108,502,476.66
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Solution
The fourth proportional to 2,703,982,117.16, 3,722,822,842.25 and 2,108,502,476.66 is: 2,902,970,819.68
Step by Step Solution
- Step 1: Write the proportion equation
2,703,982,117.16 : 3,722,822,842.25 = 2,108,502,476.66 : x - Step 2: Convert to fraction form
2,703,982,117.16/3,722,822,842.25 = 2,108,502,476.66/x - Step 3: Cross multiply
2,703,982,117.16x = 3,722,822,842.25 × 2,108,502,476.66 - Step 4: Simplify right side
2,703,982,117.16x = 7,849,581,183,050,546,176 - Step 5: Solve for x
x = 7,849,581,183,050,546,176/2,703,982,117.16 - Step 6: Final answer
x = 2,902,970,819.68
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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.