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Finding the Fourth Proportional to 137,942,729,545.30, 206,914,094,317.95 and 137,942,729,545.30

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Solution

The fourth proportional to 137,942,729,545.30, 206,914,094,317.95 and 137,942,729,545.30 is: 206,914,094,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,942,729,545.30 : 206,914,094,317.95 = 137,942,729,545.30 : x
  2. Step 2: Convert to fraction form
    137,942,729,545.30/206,914,094,317.95 = 137,942,729,545.30/x
  3. Step 3: Cross multiply
    137,942,729,545.30x = 206,914,094,317.95 × 137,942,729,545.30
  4. Step 4: Simplify right side
    137,942,729,545.30x = 28,542,294,951,611,670,200,320
  5. Step 5: Solve for x
    x = 28,542,294,951,611,670,200,320/137,942,729,545.30
  6. Step 6: Final answer
    x = 206,914,094,317.95

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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.