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Finding the Fourth Proportional to 396,336,890,967.30, 594,505,336,450.95 and 396,336,890,967.30

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Solution

The fourth proportional to 396,336,890,967.30, 594,505,336,450.95 and 396,336,890,967.30 is: 594,505,336,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,336,890,967.30 : 594,505,336,450.95 = 396,336,890,967.30 : x
  2. Step 2: Convert to fraction form
    396,336,890,967.30/594,505,336,450.95 = 396,336,890,967.30/x
  3. Step 3: Cross multiply
    396,336,890,967.30x = 594,505,336,450.95 × 396,336,890,967.30
  4. Step 4: Simplify right side
    396,336,890,967.30x = 235,624,396,712,438,141,026,304
  5. Step 5: Solve for x
    x = 235,624,396,712,438,141,026,304/396,336,890,967.30
  6. Step 6: Final answer
    x = 594,505,336,450.95

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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.