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Finding the Fourth Proportional to 488,971,930.60, 733,493,325.30 and 294,464,524.60

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Solution

The fourth proportional to 488,971,930.60, 733,493,325.30 and 294,464,524.60 is: 441,718,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,971,930.60 : 733,493,325.30 = 294,464,524.60 : x
  2. Step 2: Convert to fraction form
    488,971,930.60/733,493,325.30 = 294,464,524.60/x
  3. Step 3: Cross multiply
    488,971,930.60x = 733,493,325.30 × 294,464,524.60
  4. Step 4: Simplify right side
    488,971,930.60x = 215,987,763,331,737,664
  5. Step 5: Solve for x
    x = 215,987,763,331,737,664/488,971,930.60
  6. Step 6: Final answer
    x = 441,718,122.89

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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.