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Finding the Fourth Proportional to 582,057,691.20, 873,207,842.40 and 194,001,076.80

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Solution

The fourth proportional to 582,057,691.20, 873,207,842.40 and 194,001,076.80 is: 291,042,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,057,691.20 : 873,207,842.40 = 194,001,076.80 : x
  2. Step 2: Convert to fraction form
    582,057,691.20/873,207,842.40 = 194,001,076.80/x
  3. Step 3: Cross multiply
    582,057,691.20x = 873,207,842.40 × 194,001,076.80
  4. Step 4: Simplify right side
    582,057,691.20x = 169,403,261,695,804,704
  5. Step 5: Solve for x
    x = 169,403,261,695,804,704/582,057,691.20
  6. Step 6: Final answer
    x = 291,042,046.62

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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.