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Finding the Fourth Proportional to 165,920,718.40, 231,858,538.55 and 165,920,718.40

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Solution

The fourth proportional to 165,920,718.40, 231,858,538.55 and 165,920,718.40 is: 231,858,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,920,718.40 : 231,858,538.55 = 165,920,718.40 : x
  2. Step 2: Convert to fraction form
    165,920,718.40/231,858,538.55 = 165,920,718.40/x
  3. Step 3: Cross multiply
    165,920,718.40x = 231,858,538.55 × 165,920,718.40
  4. Step 4: Simplify right side
    165,920,718.40x = 38,470,135,283,390,096
  5. Step 5: Solve for x
    x = 38,470,135,283,390,096/165,920,718.40
  6. Step 6: Final answer
    x = 231,858,538.55

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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.