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Finding the Fourth Proportional to 176,644,929.80, 264,967,394.70 and 165,307,521.80

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Solution

The fourth proportional to 176,644,929.80, 264,967,394.70 and 165,307,521.80 is: 247,961,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,644,929.80 : 264,967,394.70 = 165,307,521.80 : x
  2. Step 2: Convert to fraction form
    176,644,929.80/264,967,394.70 = 165,307,521.80/x
  3. Step 3: Cross multiply
    176,644,929.80x = 264,967,394.70 × 165,307,521.80
  4. Step 4: Simplify right side
    176,644,929.80x = 43,801,103,375,659,456
  5. Step 5: Solve for x
    x = 43,801,103,375,659,456/176,644,929.80
  6. Step 6: Final answer
    x = 247,961,282.70

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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.