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Finding the Fourth Proportional to 242,654,843.85, 363,946,388.04 and 89,265,028.02

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Solution

The fourth proportional to 242,654,843.85, 363,946,388.04 and 89,265,028.02 is: 133,884,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,654,843.85 : 363,946,388.04 = 89,265,028.02 : x
  2. Step 2: Convert to fraction form
    242,654,843.85/363,946,388.04 = 89,265,028.02/x
  3. Step 3: Cross multiply
    242,654,843.85x = 363,946,388.04 × 89,265,028.02
  4. Step 4: Simplify right side
    242,654,843.85x = 32,487,684,526,168,392
  5. Step 5: Solve for x
    x = 32,487,684,526,168,392/242,654,843.85
  6. Step 6: Final answer
    x = 133,884,343.75

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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.