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Finding the Fourth Proportional to 420,172,319.80, 629,124,738.90 and 420,172,319.80

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Solution

The fourth proportional to 420,172,319.80, 629,124,738.90 and 420,172,319.80 is: 629,124,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,172,319.80 : 629,124,738.90 = 420,172,319.80 : x
  2. Step 2: Convert to fraction form
    420,172,319.80/629,124,738.90 = 420,172,319.80/x
  3. Step 3: Cross multiply
    420,172,319.80x = 629,124,738.90 × 420,172,319.80
  4. Step 4: Simplify right side
    420,172,319.80x = 264,340,800,987,182,304
  5. Step 5: Solve for x
    x = 264,340,800,987,182,304/420,172,319.80
  6. Step 6: Final answer
    x = 629,124,738.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.