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Finding the Fourth Proportional to 419,906,092.40, 629,859,138.60 and 177,568,996.40

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Solution

The fourth proportional to 419,906,092.40, 629,859,138.60 and 177,568,996.40 is: 266,353,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,092.40 : 629,859,138.60 = 177,568,996.40 : x
  2. Step 2: Convert to fraction form
    419,906,092.40/629,859,138.60 = 177,568,996.40/x
  3. Step 3: Cross multiply
    419,906,092.40x = 629,859,138.60 × 177,568,996.40
  4. Step 4: Simplify right side
    419,906,092.40x = 111,843,455,114,570,512
  5. Step 5: Solve for x
    x = 111,843,455,114,570,512/419,906,092.40
  6. Step 6: Final answer
    x = 266,353,494.60

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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.