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Finding the Fourth Proportional to 412,614,906.10, 618,922,359.15 and 412,614,906.10

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Solution

The fourth proportional to 412,614,906.10, 618,922,359.15 and 412,614,906.10 is: 618,922,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,614,906.10 : 618,922,359.15 = 412,614,906.10 : x
  2. Step 2: Convert to fraction form
    412,614,906.10/618,922,359.15 = 412,614,906.10/x
  3. Step 3: Cross multiply
    412,614,906.10x = 618,922,359.15 × 412,614,906.10
  4. Step 4: Simplify right side
    412,614,906.10x = 255,376,591,103,867,744
  5. Step 5: Solve for x
    x = 255,376,591,103,867,744/412,614,906.10
  6. Step 6: Final answer
    x = 618,922,359.15

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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.