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Finding the Fourth Proportional to 408,772,655.20, 613,158,982.80 and 408,772,655.20

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Solution

The fourth proportional to 408,772,655.20, 613,158,982.80 and 408,772,655.20 is: 613,158,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,772,655.20 : 613,158,982.80 = 408,772,655.20 : x
  2. Step 2: Convert to fraction form
    408,772,655.20/613,158,982.80 = 408,772,655.20/x
  3. Step 3: Cross multiply
    408,772,655.20x = 613,158,982.80 × 408,772,655.20
  4. Step 4: Simplify right side
    408,772,655.20x = 250,642,625,458,887,104
  5. Step 5: Solve for x
    x = 250,642,625,458,887,104/408,772,655.20
  6. Step 6: Final answer
    x = 613,158,982.80

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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.