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Finding the Fourth Proportional to 271,188,019.20, 406,782,028.80 and 141,835,279.80

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Solution

The fourth proportional to 271,188,019.20, 406,782,028.80 and 141,835,279.80 is: 212,752,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,188,019.20 : 406,782,028.80 = 141,835,279.80 : x
  2. Step 2: Convert to fraction form
    271,188,019.20/406,782,028.80 = 141,835,279.80/x
  3. Step 3: Cross multiply
    271,188,019.20x = 406,782,028.80 × 141,835,279.80
  4. Step 4: Simplify right side
    271,188,019.20x = 57,696,042,872,459,664
  5. Step 5: Solve for x
    x = 57,696,042,872,459,664/271,188,019.20
  6. Step 6: Final answer
    x = 212,752,919.70

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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.