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Finding the Fourth Proportional to 419,904,513.60, 629,856,770.40 and 405,795,739.20

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Solution

The fourth proportional to 419,904,513.60, 629,856,770.40 and 405,795,739.20 is: 608,693,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,513.60 : 629,856,770.40 = 405,795,739.20 : x
  2. Step 2: Convert to fraction form
    419,904,513.60/629,856,770.40 = 405,795,739.20/x
  3. Step 3: Cross multiply
    419,904,513.60x = 629,856,770.40 × 405,795,739.20
  4. Step 4: Simplify right side
    419,904,513.60x = 255,593,193,734,592,672
  5. Step 5: Solve for x
    x = 255,593,193,734,592,672/419,904,513.60
  6. Step 6: Final answer
    x = 608,693,608.80

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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.