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Finding the Fourth Proportional to 271,752,415.80, 407,150,326.80 and 233,488,663.80

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Solution

The fourth proportional to 271,752,415.80, 407,150,326.80 and 233,488,663.80 is: 349,822,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,752,415.80 : 407,150,326.80 = 233,488,663.80 : x
  2. Step 2: Convert to fraction form
    271,752,415.80/407,150,326.80 = 233,488,663.80/x
  3. Step 3: Cross multiply
    271,752,415.80x = 407,150,326.80 × 233,488,663.80
  4. Step 4: Simplify right side
    271,752,415.80x = 95,064,985,770,265,344
  5. Step 5: Solve for x
    x = 95,064,985,770,265,344/271,752,415.80
  6. Step 6: Final answer
    x = 349,822,044.78

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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.