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Finding the Fourth Proportional to 419,904,404.90, 629,856,607.35 and 366,156,692.90

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Solution

The fourth proportional to 419,904,404.90, 629,856,607.35 and 366,156,692.90 is: 549,235,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,404.90 : 629,856,607.35 = 366,156,692.90 : x
  2. Step 2: Convert to fraction form
    419,904,404.90/629,856,607.35 = 366,156,692.90/x
  3. Step 3: Cross multiply
    419,904,404.90x = 629,856,607.35 × 366,156,692.90
  4. Step 4: Simplify right side
    419,904,404.90x = 230,626,212,348,489,824
  5. Step 5: Solve for x
    x = 230,626,212,348,489,824/419,904,404.90
  6. Step 6: Final answer
    x = 549,235,039.35

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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.