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Finding the Fourth Proportional to 138,815,903.20, 208,223,854.80 and 70,791,455.20

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Solution

The fourth proportional to 138,815,903.20, 208,223,854.80 and 70,791,455.20 is: 106,187,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,815,903.20 : 208,223,854.80 = 70,791,455.20 : x
  2. Step 2: Convert to fraction form
    138,815,903.20/208,223,854.80 = 70,791,455.20/x
  3. Step 3: Cross multiply
    138,815,903.20x = 208,223,854.80 × 70,791,455.20
  4. Step 4: Simplify right side
    138,815,903.20x = 14,740,469,688,645,506
  5. Step 5: Solve for x
    x = 14,740,469,688,645,506/138,815,903.20
  6. Step 6: Final answer
    x = 106,187,182.80

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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.