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Finding the Fourth Proportional to 604,328,682.20, 906,493,023.30 and 420,662,672.60

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Solution

The fourth proportional to 604,328,682.20, 906,493,023.30 and 420,662,672.60 is: 630,994,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,328,682.20 : 906,493,023.30 = 420,662,672.60 : x
  2. Step 2: Convert to fraction form
    604,328,682.20/906,493,023.30 = 420,662,672.60/x
  3. Step 3: Cross multiply
    604,328,682.20x = 906,493,023.30 × 420,662,672.60
  4. Step 4: Simplify right side
    604,328,682.20x = 381,327,777,874,632,064
  5. Step 5: Solve for x
    x = 381,327,777,874,632,064/604,328,682.20
  6. Step 6: Final answer
    x = 630,994,008.90

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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.