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Finding the Fourth Proportional to 488,691,014.40, 733,036,521.60 and 466,016,198.40

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Solution

The fourth proportional to 488,691,014.40, 733,036,521.60 and 466,016,198.40 is: 699,024,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,691,014.40 : 733,036,521.60 = 466,016,198.40 : x
  2. Step 2: Convert to fraction form
    488,691,014.40/733,036,521.60 = 466,016,198.40/x
  3. Step 3: Cross multiply
    488,691,014.40x = 733,036,521.60 × 466,016,198.40
  4. Step 4: Simplify right side
    488,691,014.40x = 341,606,893,084,391,488
  5. Step 5: Solve for x
    x = 341,606,893,084,391,488/488,691,014.40
  6. Step 6: Final answer
    x = 699,024,297.60

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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.