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Finding the Fourth Proportional to 396,122,305,846.60, 594,183,458,769.90 and 396,122,305,846.60

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Solution

The fourth proportional to 396,122,305,846.60, 594,183,458,769.90 and 396,122,305,846.60 is: 594,183,458,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,122,305,846.60 : 594,183,458,769.90 = 396,122,305,846.60 : x
  2. Step 2: Convert to fraction form
    396,122,305,846.60/594,183,458,769.90 = 396,122,305,846.60/x
  3. Step 3: Cross multiply
    396,122,305,846.60x = 594,183,458,769.90 × 396,122,305,846.60
  4. Step 4: Simplify right side
    396,122,305,846.60x = 235,369,321,783,840,978,501,632
  5. Step 5: Solve for x
    x = 235,369,321,783,840,978,501,632/396,122,305,846.60
  6. Step 6: Final answer
    x = 594,183,458,769.90

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Why These Related Problems?

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