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Finding the Fourth Proportional to 396,051,860,147.55, 594,077,790,221.32 and 396,051,860,147.55

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Solution

The fourth proportional to 396,051,860,147.55, 594,077,790,221.32 and 396,051,860,147.55 is: 594,077,790,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,051,860,147.55 : 594,077,790,221.32 = 396,051,860,147.55 : x
  2. Step 2: Convert to fraction form
    396,051,860,147.55/594,077,790,221.32 = 396,051,860,147.55/x
  3. Step 3: Cross multiply
    396,051,860,147.55x = 594,077,790,221.32 × 396,051,860,147.55
  4. Step 4: Simplify right side
    396,051,860,147.55x = 235,285,613,889,499,730,804,736
  5. Step 5: Solve for x
    x = 235,285,613,889,499,730,804,736/396,051,860,147.55
  6. Step 6: Final answer
    x = 594,077,790,221.32

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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.