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Finding the Fourth Proportional to 5,432,863.15, 8,149,294.73 and 5,432,863.15

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Solution

The fourth proportional to 5,432,863.15, 8,149,294.73 and 5,432,863.15 is: 8,149,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432,863.15 : 8,149,294.73 = 5,432,863.15 : x
  2. Step 2: Convert to fraction form
    5,432,863.15/8,149,294.73 = 5,432,863.15/x
  3. Step 3: Cross multiply
    5,432,863.15x = 8,149,294.73 × 5,432,863.15
  4. Step 4: Simplify right side
    5,432,863.15x = 44,274,003,037,106.20
  5. Step 5: Solve for x
    x = 44,274,003,037,106.20/5,432,863.15
  6. Step 6: Final answer
    x = 8,149,294.73

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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.