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Finding the Fourth Proportional to 362,834,414.15, 500,754,000.17 and 206,225,062.31

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Solution

The fourth proportional to 362,834,414.15, 500,754,000.17 and 206,225,062.31 is: 284,614,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,834,414.15 : 500,754,000.17 = 206,225,062.31 : x
  2. Step 2: Convert to fraction form
    362,834,414.15/500,754,000.17 = 206,225,062.31/x
  3. Step 3: Cross multiply
    362,834,414.15x = 500,754,000.17 × 206,225,062.31
  4. Step 4: Simplify right side
    362,834,414.15x = 103,268,024,886,008,880
  5. Step 5: Solve for x
    x = 103,268,024,886,008,880/362,834,414.15
  6. Step 6: Final answer
    x = 284,614,746.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.