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Finding the Fourth Proportional to 419,907,000.60, 629,860,500.90 and 413,104,555.80

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Solution

The fourth proportional to 419,907,000.60, 629,860,500.90 and 413,104,555.80 is: 619,656,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,000.60 : 629,860,500.90 = 413,104,555.80 : x
  2. Step 2: Convert to fraction form
    419,907,000.60/629,860,500.90 = 413,104,555.80/x
  3. Step 3: Cross multiply
    419,907,000.60x = 629,860,500.90 × 413,104,555.80
  4. Step 4: Simplify right side
    419,907,000.60x = 260,198,242,440,260,000
  5. Step 5: Solve for x
    x = 260,198,242,440,260,000/419,907,000.60
  6. Step 6: Final answer
    x = 619,656,833.70

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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.