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Finding the Fourth Proportional to 311,987,598.80, 467,981,398.20 and 221,288,334.80

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Solution

The fourth proportional to 311,987,598.80, 467,981,398.20 and 221,288,334.80 is: 331,932,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,987,598.80 : 467,981,398.20 = 221,288,334.80 : x
  2. Step 2: Convert to fraction form
    311,987,598.80/467,981,398.20 = 221,288,334.80/x
  3. Step 3: Cross multiply
    311,987,598.80x = 467,981,398.20 × 221,288,334.80
  4. Step 4: Simplify right side
    311,987,598.80x = 103,558,824,325,053,728
  5. Step 5: Solve for x
    x = 103,558,824,325,053,728/311,987,598.80
  6. Step 6: Final answer
    x = 331,932,502.20

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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.