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Finding the Fourth Proportional to 269,441,157.60, 404,161,736.40 and 242,231,378.40

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Solution

The fourth proportional to 269,441,157.60, 404,161,736.40 and 242,231,378.40 is: 363,347,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,441,157.60 : 404,161,736.40 = 242,231,378.40 : x
  2. Step 2: Convert to fraction form
    269,441,157.60/404,161,736.40 = 242,231,378.40/x
  3. Step 3: Cross multiply
    269,441,157.60x = 404,161,736.40 × 242,231,378.40
  4. Step 4: Simplify right side
    269,441,157.60x = 97,900,654,504,709,456
  5. Step 5: Solve for x
    x = 97,900,654,504,709,456/269,441,157.60
  6. Step 6: Final answer
    x = 363,347,067.60

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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.