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Finding the Fourth Proportional to 414,878,468.40, 622,349,195.40 and 123,722,866.80

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Solution

The fourth proportional to 414,878,468.40, 622,349,195.40 and 123,722,866.80 is: 185,593,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,878,468.40 : 622,349,195.40 = 123,722,866.80 : x
  2. Step 2: Convert to fraction form
    414,878,468.40/622,349,195.40 = 123,722,866.80/x
  3. Step 3: Cross multiply
    414,878,468.40x = 622,349,195.40 × 123,722,866.80
  4. Step 4: Simplify right side
    414,878,468.40x = 76,998,826,605,561,360
  5. Step 5: Solve for x
    x = 76,998,826,605,561,360/414,878,468.40
  6. Step 6: Final answer
    x = 185,593,691.82

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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.