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Finding the Fourth Proportional to 206,861,286.40, 310,267,046.40 and 85,680,102.40

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Solution

The fourth proportional to 206,861,286.40, 310,267,046.40 and 85,680,102.40 is: 128,509,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,861,286.40 : 310,267,046.40 = 85,680,102.40 : x
  2. Step 2: Convert to fraction form
    206,861,286.40/310,267,046.40 = 85,680,102.40/x
  3. Step 3: Cross multiply
    206,861,286.40x = 310,267,046.40 × 85,680,102.40
  4. Step 4: Simplify right side
    206,861,286.40x = 26,583,712,306,897,552
  5. Step 5: Solve for x
    x = 26,583,712,306,897,552/206,861,286.40
  6. Step 6: Final answer
    x = 128,509,847.20

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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.