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Finding the Fourth Proportional to 419,904,522.60, 629,856,783.90 and 413,102,077.80

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Solution

The fourth proportional to 419,904,522.60, 629,856,783.90 and 413,102,077.80 is: 619,653,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,522.60 : 629,856,783.90 = 413,102,077.80 : x
  2. Step 2: Convert to fraction form
    419,904,522.60/629,856,783.90 = 413,102,077.80/x
  3. Step 3: Cross multiply
    419,904,522.60x = 629,856,783.90 × 413,102,077.80
  4. Step 4: Simplify right side
    419,904,522.60x = 260,195,146,145,515,584
  5. Step 5: Solve for x
    x = 260,195,146,145,515,584/419,904,522.60
  6. Step 6: Final answer
    x = 619,653,116.70

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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.