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Finding the Fourth Proportional to 408,591,787,914.15, 612,887,681,871.25 and 408,591,787,914.15

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Solution

The fourth proportional to 408,591,787,914.15, 612,887,681,871.25 and 408,591,787,914.15 is: 612,887,681,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,591,787,914.15 : 612,887,681,871.25 = 408,591,787,914.15 : x
  2. Step 2: Convert to fraction form
    408,591,787,914.15/612,887,681,871.25 = 408,591,787,914.15/x
  3. Step 3: Cross multiply
    408,591,787,914.15x = 612,887,681,871.25 × 408,591,787,914.15
  4. Step 4: Simplify right side
    408,591,787,914.15x = 250,420,873,726,332,837,560,320
  5. Step 5: Solve for x
    x = 250,420,873,726,332,837,560,320/408,591,787,914.15
  6. Step 6: Final answer
    x = 612,887,681,871.25

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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.