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Finding the Fourth Proportional to 68,278,311.90, 102,417,467.85 and 68,278,311.90

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Solution

The fourth proportional to 68,278,311.90, 102,417,467.85 and 68,278,311.90 is: 102,417,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,278,311.90 : 102,417,467.85 = 68,278,311.90 : x
  2. Step 2: Convert to fraction form
    68,278,311.90/102,417,467.85 = 68,278,311.90/x
  3. Step 3: Cross multiply
    68,278,311.90x = 102,417,467.85 × 68,278,311.90
  4. Step 4: Simplify right side
    68,278,311.90x = 6,992,891,813,870,523
  5. Step 5: Solve for x
    x = 6,992,891,813,870,523/68,278,311.90
  6. Step 6: Final answer
    x = 102,417,467.85

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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.