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Finding the Fourth Proportional to 396,336,890,977.80, 594,505,336,472.77 and 396,336,890,977.80

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Solution

The fourth proportional to 396,336,890,977.80, 594,505,336,472.77 and 396,336,890,977.80 is: 594,505,336,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,336,890,977.80 : 594,505,336,472.77 = 396,336,890,977.80 : x
  2. Step 2: Convert to fraction form
    396,336,890,977.80/594,505,336,472.77 = 396,336,890,977.80/x
  3. Step 3: Cross multiply
    396,336,890,977.80x = 594,505,336,472.77 × 396,336,890,977.80
  4. Step 4: Simplify right side
    396,336,890,977.80x = 235,624,396,727,328,557,760,512
  5. Step 5: Solve for x
    x = 235,624,396,727,328,557,760,512/396,336,890,977.80
  6. Step 6: Final answer
    x = 594,505,336,472.77

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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.