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Finding the Fourth Proportional to 165,924,204.30, 248,886,306.45 and 165,924,204.30

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Solution

The fourth proportional to 165,924,204.30, 248,886,306.45 and 165,924,204.30 is: 248,886,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,924,204.30 : 248,886,306.45 = 165,924,204.30 : x
  2. Step 2: Convert to fraction form
    165,924,204.30/248,886,306.45 = 165,924,204.30/x
  3. Step 3: Cross multiply
    165,924,204.30x = 248,886,306.45 × 165,924,204.30
  4. Step 4: Simplify right side
    165,924,204.30x = 41,296,262,358,882,208
  5. Step 5: Solve for x
    x = 41,296,262,358,882,208/165,924,204.30
  6. Step 6: Final answer
    x = 248,886,306.45

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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.