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Finding the Fourth Proportional to 465,718,472.20, 698,577,708.30 and 396,471,709.90

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Solution

The fourth proportional to 465,718,472.20, 698,577,708.30 and 396,471,709.90 is: 594,707,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,718,472.20 : 698,577,708.30 = 396,471,709.90 : x
  2. Step 2: Convert to fraction form
    465,718,472.20/698,577,708.30 = 396,471,709.90/x
  3. Step 3: Cross multiply
    465,718,472.20x = 698,577,708.30 × 396,471,709.90
  4. Step 4: Simplify right side
    465,718,472.20x = 276,966,298,507,724,384
  5. Step 5: Solve for x
    x = 276,966,298,507,724,384/465,718,472.20
  6. Step 6: Final answer
    x = 594,707,564.85

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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.