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Finding the Fourth Proportional to 396,122,305,862.35, 594,183,458,793.55 and 396,122,305,862.35

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Solution

The fourth proportional to 396,122,305,862.35, 594,183,458,793.55 and 396,122,305,862.35 is: 594,183,458,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,122,305,862.35 : 594,183,458,793.55 = 396,122,305,862.35 : x
  2. Step 2: Convert to fraction form
    396,122,305,862.35/594,183,458,793.55 = 396,122,305,862.35/x
  3. Step 3: Cross multiply
    396,122,305,862.35x = 594,183,458,793.55 × 396,122,305,862.35
  4. Step 4: Simplify right side
    396,122,305,862.35x = 235,369,321,802,567,639,891,968
  5. Step 5: Solve for x
    x = 235,369,321,802,567,639,891,968/396,122,305,862.35
  6. Step 6: Final answer
    x = 594,183,458,793.55

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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.