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Finding the Fourth Proportional to 396,122,305,845.60, 594,183,458,768.40 and 396,122,305,845.60

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Solution

The fourth proportional to 396,122,305,845.60, 594,183,458,768.40 and 396,122,305,845.60 is: 594,183,458,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,122,305,845.60 : 594,183,458,768.40 = 396,122,305,845.60 : x
  2. Step 2: Convert to fraction form
    396,122,305,845.60/594,183,458,768.40 = 396,122,305,845.60/x
  3. Step 3: Cross multiply
    396,122,305,845.60x = 594,183,458,768.40 × 396,122,305,845.60
  4. Step 4: Simplify right side
    396,122,305,845.60x = 235,369,321,782,652,581,183,488
  5. Step 5: Solve for x
    x = 235,369,321,782,652,581,183,488/396,122,305,845.60
  6. Step 6: Final answer
    x = 594,183,458,768.40

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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.