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Finding the Fourth Proportional to 726,700,728.30, 1,088,752,014.45 and 442,242,012.30

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Solution

The fourth proportional to 726,700,728.30, 1,088,752,014.45 and 442,242,012.30 is: 662,572,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,700,728.30 : 1,088,752,014.45 = 442,242,012.30 : x
  2. Step 2: Convert to fraction form
    726,700,728.30/1,088,752,014.45 = 442,242,012.30/x
  3. Step 3: Cross multiply
    726,700,728.30x = 1,088,752,014.45 × 442,242,012.30
  4. Step 4: Simplify right side
    726,700,728.30x = 481,491,881,766,046,720
  5. Step 5: Solve for x
    x = 481,491,881,766,046,720/726,700,728.30
  6. Step 6: Final answer
    x = 662,572,449.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.