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Finding the Fourth Proportional to 396,336,890,970.30, 594,505,336,455.45 and 396,336,890,970.30

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Solution

The fourth proportional to 396,336,890,970.30, 594,505,336,455.45 and 396,336,890,970.30 is: 594,505,336,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,336,890,970.30 : 594,505,336,455.45 = 396,336,890,970.30 : x
  2. Step 2: Convert to fraction form
    396,336,890,970.30/594,505,336,455.45 = 396,336,890,970.30/x
  3. Step 3: Cross multiply
    396,336,890,970.30x = 594,505,336,455.45 × 396,336,890,970.30
  4. Step 4: Simplify right side
    396,336,890,970.30x = 235,624,396,716,005,178,474,496
  5. Step 5: Solve for x
    x = 235,624,396,716,005,178,474,496/396,336,890,970.30
  6. Step 6: Final answer
    x = 594,505,336,455.45

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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.