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Finding the Fourth Proportional to 408,591,787,908.40, 612,887,681,862.60 and 408,591,787,908.40

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Solution

The fourth proportional to 408,591,787,908.40, 612,887,681,862.60 and 408,591,787,908.40 is: 612,887,681,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,591,787,908.40 : 612,887,681,862.60 = 408,591,787,908.40 : x
  2. Step 2: Convert to fraction form
    408,591,787,908.40/612,887,681,862.60 = 408,591,787,908.40/x
  3. Step 3: Cross multiply
    408,591,787,908.40x = 612,887,681,862.60 × 408,591,787,908.40
  4. Step 4: Simplify right side
    408,591,787,908.40x = 250,420,873,719,274,394,353,664
  5. Step 5: Solve for x
    x = 250,420,873,719,274,394,353,664/408,591,787,908.40
  6. Step 6: Final answer
    x = 612,887,681,862.60

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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.