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Finding the Fourth Proportional to 83,051,937.15, 124,577,905.73 and 83,051,937.15

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Solution

The fourth proportional to 83,051,937.15, 124,577,905.73 and 83,051,937.15 is: 124,577,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,051,937.15 : 124,577,905.73 = 83,051,937.15 : x
  2. Step 2: Convert to fraction form
    83,051,937.15/124,577,905.73 = 83,051,937.15/x
  3. Step 3: Cross multiply
    83,051,937.15x = 124,577,905.73 × 83,051,937.15
  4. Step 4: Simplify right side
    83,051,937.15x = 10,346,436,396,551,326
  5. Step 5: Solve for x
    x = 10,346,436,396,551,326/83,051,937.15
  6. Step 6: Final answer
    x = 124,577,905.73

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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.