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Finding the Fourth Proportional to 412,614,408.60, 618,921,612.90 and 412,614,408.60

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Solution

The fourth proportional to 412,614,408.60, 618,921,612.90 and 412,614,408.60 is: 618,921,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,614,408.60 : 618,921,612.90 = 412,614,408.60 : x
  2. Step 2: Convert to fraction form
    412,614,408.60/618,921,612.90 = 412,614,408.60/x
  3. Step 3: Cross multiply
    412,614,408.60x = 618,921,612.90 × 412,614,408.60
  4. Step 4: Simplify right side
    412,614,408.60x = 255,375,975,276,491,648
  5. Step 5: Solve for x
    x = 255,375,975,276,491,648/412,614,408.60
  6. Step 6: Final answer
    x = 618,921,612.90

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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.