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Finding the Fourth Proportional to 408,797,227.80, 613,195,841.70 and 377,229,632.40

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Solution

The fourth proportional to 408,797,227.80, 613,195,841.70 and 377,229,632.40 is: 565,844,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,797,227.80 : 613,195,841.70 = 377,229,632.40 : x
  2. Step 2: Convert to fraction form
    408,797,227.80/613,195,841.70 = 377,229,632.40/x
  3. Step 3: Cross multiply
    408,797,227.80x = 613,195,841.70 × 377,229,632.40
  4. Step 4: Simplify right side
    408,797,227.80x = 231,315,641,953,699,584
  5. Step 5: Solve for x
    x = 231,315,641,953,699,584/408,797,227.80
  6. Step 6: Final answer
    x = 565,844,448.60

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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.