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Finding the Fourth Proportional to 242,647,872.60, 363,971,808.90 and 182,181,696.60

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Solution

The fourth proportional to 242,647,872.60, 363,971,808.90 and 182,181,696.60 is: 273,272,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,647,872.60 : 363,971,808.90 = 182,181,696.60 : x
  2. Step 2: Convert to fraction form
    242,647,872.60/363,971,808.90 = 182,181,696.60/x
  3. Step 3: Cross multiply
    242,647,872.60x = 363,971,808.90 × 182,181,696.60
  4. Step 4: Simplify right side
    242,647,872.60x = 66,309,001,659,972,976
  5. Step 5: Solve for x
    x = 66,309,001,659,972,976/242,647,872.60
  6. Step 6: Final answer
    x = 273,272,544.90

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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.