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Finding the Fourth Proportional to 412,614,023.60, 618,921,035.40 and 412,614,023.60

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Solution

The fourth proportional to 412,614,023.60, 618,921,035.40 and 412,614,023.60 is: 618,921,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,614,023.60 : 618,921,035.40 = 412,614,023.60 : x
  2. Step 2: Convert to fraction form
    412,614,023.60/618,921,035.40 = 412,614,023.60/x
  3. Step 3: Cross multiply
    412,614,023.60x = 618,921,035.40 × 412,614,023.60
  4. Step 4: Simplify right side
    412,614,023.60x = 255,375,498,707,072,032
  5. Step 5: Solve for x
    x = 255,375,498,707,072,032/412,614,023.60
  6. Step 6: Final answer
    x = 618,921,035.40

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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.