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Finding the Fourth Proportional to 165,952,570.30, 231,880,102.10 and 165,952,570.30

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Solution

The fourth proportional to 165,952,570.30, 231,880,102.10 and 165,952,570.30 is: 231,880,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,952,570.30 : 231,880,102.10 = 165,952,570.30 : x
  2. Step 2: Convert to fraction form
    165,952,570.30/231,880,102.10 = 165,952,570.30/x
  3. Step 3: Cross multiply
    165,952,570.30x = 231,880,102.10 × 165,952,570.30
  4. Step 4: Simplify right side
    165,952,570.30x = 38,481,098,944,921,432
  5. Step 5: Solve for x
    x = 38,481,098,944,921,432/165,952,570.30
  6. Step 6: Final answer
    x = 231,880,102.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.