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Finding the Fourth Proportional to 170,836,992,013.30, 256,255,488,019.96 and 170,836,992,013.30

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Solution

The fourth proportional to 170,836,992,013.30, 256,255,488,019.96 and 170,836,992,013.30 is: 256,255,488,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,836,992,013.30 : 256,255,488,019.96 = 170,836,992,013.30 : x
  2. Step 2: Convert to fraction form
    170,836,992,013.30/256,255,488,019.96 = 170,836,992,013.30/x
  3. Step 3: Cross multiply
    170,836,992,013.30x = 256,255,488,019.96 × 170,836,992,013.30
  4. Step 4: Simplify right side
    170,836,992,013.30x = 43,777,916,760,230,197,198,848
  5. Step 5: Solve for x
    x = 43,777,916,760,230,197,198,848/170,836,992,013.30
  6. Step 6: Final answer
    x = 256,255,488,019.96

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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.