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Finding the Fourth Proportional to 80,652,190.80, 120,978,286.26 and 80,652,190.80

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Solution

The fourth proportional to 80,652,190.80, 120,978,286.26 and 80,652,190.80 is: 120,978,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,652,190.80 : 120,978,286.26 = 80,652,190.80 : x
  2. Step 2: Convert to fraction form
    80,652,190.80/120,978,286.26 = 80,652,190.80/x
  3. Step 3: Cross multiply
    80,652,190.80x = 120,978,286.26 × 80,652,190.80
  4. Step 4: Simplify right side
    80,652,190.80x = 9,757,163,826,098,538
  5. Step 5: Solve for x
    x = 9,757,163,826,098,538/80,652,190.80
  6. Step 6: Final answer
    x = 120,978,286.26

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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.