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Finding the Fourth Proportional to 165,785,100.30, 248,677,650.45 and 165,785,100.30

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Solution

The fourth proportional to 165,785,100.30, 248,677,650.45 and 165,785,100.30 is: 248,677,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,785,100.30 : 248,677,650.45 = 165,785,100.30 : x
  2. Step 2: Convert to fraction form
    165,785,100.30/248,677,650.45 = 165,785,100.30/x
  3. Step 3: Cross multiply
    165,785,100.30x = 248,677,650.45 × 165,785,100.30
  4. Step 4: Simplify right side
    165,785,100.30x = 41,227,049,222,221,592
  5. Step 5: Solve for x
    x = 41,227,049,222,221,592/165,785,100.30
  6. Step 6: Final answer
    x = 248,677,650.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.