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Finding the Fourth Proportional to 419,904,501.90, 629,856,752.85 and 419,904,501.90

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Solution

The fourth proportional to 419,904,501.90, 629,856,752.85 and 419,904,501.90 is: 629,856,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,501.90 : 629,856,752.85 = 419,904,501.90 : x
  2. Step 2: Convert to fraction form
    419,904,501.90/629,856,752.85 = 419,904,501.90/x
  3. Step 3: Cross multiply
    419,904,501.90x = 629,856,752.85 × 419,904,501.90
  4. Step 4: Simplify right side
    419,904,501.90x = 264,479,686,073,830,656
  5. Step 5: Solve for x
    x = 264,479,686,073,830,656/419,904,501.90
  6. Step 6: Final answer
    x = 629,856,752.85

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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.