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Finding the Fourth Proportional to 419,906,117.60, 629,859,176.40 and 386,744,199.20

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Solution

The fourth proportional to 419,906,117.60, 629,859,176.40 and 386,744,199.20 is: 580,116,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,117.60 : 629,859,176.40 = 386,744,199.20 : x
  2. Step 2: Convert to fraction form
    419,906,117.60/629,859,176.40 = 386,744,199.20/x
  3. Step 3: Cross multiply
    419,906,117.60x = 629,859,176.40 × 386,744,199.20
  4. Step 4: Simplify right side
    419,906,117.60x = 243,594,382,785,589,536
  5. Step 5: Solve for x
    x = 243,594,382,785,589,536/419,906,117.60
  6. Step 6: Final answer
    x = 580,116,298.80

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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.