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Finding the Fourth Proportional to 16,185,909.90, 24,278,864.85 and 16,185,909.90

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Solution

The fourth proportional to 16,185,909.90, 24,278,864.85 and 16,185,909.90 is: 24,278,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185,909.90 : 24,278,864.85 = 16,185,909.90 : x
  2. Step 2: Convert to fraction form
    16,185,909.90/24,278,864.85 = 16,185,909.90/x
  3. Step 3: Cross multiply
    16,185,909.90x = 24,278,864.85 × 16,185,909.90
  4. Step 4: Simplify right side
    16,185,909.90x = 392,975,518,936,377.06
  5. Step 5: Solve for x
    x = 392,975,518,936,377.06/16,185,909.90
  6. Step 6: Final answer
    x = 24,278,864.85

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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.