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Finding the Fourth Proportional to 629,858,408.80, 944,787,613.20 and 476,803,400.80

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Solution

The fourth proportional to 629,858,408.80, 944,787,613.20 and 476,803,400.80 is: 715,205,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,858,408.80 : 944,787,613.20 = 476,803,400.80 : x
  2. Step 2: Convert to fraction form
    629,858,408.80/944,787,613.20 = 476,803,400.80/x
  3. Step 3: Cross multiply
    629,858,408.80x = 944,787,613.20 × 476,803,400.80
  4. Step 4: Simplify right side
    629,858,408.80x = 450,477,947,007,475,008
  5. Step 5: Solve for x
    x = 450,477,947,007,475,008/629,858,408.80
  6. Step 6: Final answer
    x = 715,205,101.20

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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.