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Finding the Fourth Proportional to 408,978,323.20, 613,467,484.80 and 236,366,286.40

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Solution

The fourth proportional to 408,978,323.20, 613,467,484.80 and 236,366,286.40 is: 354,549,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,978,323.20 : 613,467,484.80 = 236,366,286.40 : x
  2. Step 2: Convert to fraction form
    408,978,323.20/613,467,484.80 = 236,366,286.40/x
  3. Step 3: Cross multiply
    408,978,323.20x = 613,467,484.80 × 236,366,286.40
  4. Step 4: Simplify right side
    408,978,323.20x = 145,003,031,209,324,448
  5. Step 5: Solve for x
    x = 145,003,031,209,324,448/408,978,323.20
  6. Step 6: Final answer
    x = 354,549,429.60

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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.