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Finding the Fourth Proportional to 419,645,593.60, 629,468,390.40 and 394,115,430.40

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Solution

The fourth proportional to 419,645,593.60, 629,468,390.40 and 394,115,430.40 is: 591,173,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,645,593.60 : 629,468,390.40 = 394,115,430.40 : x
  2. Step 2: Convert to fraction form
    419,645,593.60/629,468,390.40 = 394,115,430.40/x
  3. Step 3: Cross multiply
    419,645,593.60x = 629,468,390.40 × 394,115,430.40
  4. Step 4: Simplify right side
    419,645,593.60x = 248,083,205,605,691,200
  5. Step 5: Solve for x
    x = 248,083,205,605,691,200/419,645,593.60
  6. Step 6: Final answer
    x = 591,173,145.60

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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.