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Finding the Fourth Proportional to 206,987,664.48, 285,644,324.08 and 114,170,678.88

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Solution

The fourth proportional to 206,987,664.48, 285,644,324.08 and 114,170,678.88 is: 157,556,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,987,664.48 : 285,644,324.08 = 114,170,678.88 : x
  2. Step 2: Convert to fraction form
    206,987,664.48/285,644,324.08 = 114,170,678.88/x
  3. Step 3: Cross multiply
    206,987,664.48x = 285,644,324.08 × 114,170,678.88
  4. Step 4: Simplify right side
    206,987,664.48x = 32,612,206,398,432,328
  5. Step 5: Solve for x
    x = 32,612,206,398,432,328/206,987,664.48
  6. Step 6: Final answer
    x = 157,556,279.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.