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Finding the Fourth Proportional to 137,730,817.70, 206,596,226.55 and 137,730,817.70

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Solution

The fourth proportional to 137,730,817.70, 206,596,226.55 and 137,730,817.70 is: 206,596,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,730,817.70 : 206,596,226.55 = 137,730,817.70 : x
  2. Step 2: Convert to fraction form
    137,730,817.70/206,596,226.55 = 137,730,817.70/x
  3. Step 3: Cross multiply
    137,730,817.70x = 206,596,226.55 × 137,730,817.70
  4. Step 4: Simplify right side
    137,730,817.70x = 28,454,667,216,465,948
  5. Step 5: Solve for x
    x = 28,454,667,216,465,948/137,730,817.70
  6. Step 6: Final answer
    x = 206,596,226.55

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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.