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Finding the Fourth Proportional to 8,291,238,964.20, 12,436,858,446.30 and 8,291,238,964.20

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Solution

The fourth proportional to 8,291,238,964.20, 12,436,858,446.30 and 8,291,238,964.20 is: 12,436,858,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291,238,964.20 : 12,436,858,446.30 = 8,291,238,964.20 : x
  2. Step 2: Convert to fraction form
    8,291,238,964.20/12,436,858,446.30 = 8,291,238,964.20/x
  3. Step 3: Cross multiply
    8,291,238,964.20x = 12,436,858,446.30 × 8,291,238,964.20
  4. Step 4: Simplify right side
    8,291,238,964.20x = 103,116,965,342,202,429,440
  5. Step 5: Solve for x
    x = 103,116,965,342,202,429,440/8,291,238,964.20
  6. Step 6: Final answer
    x = 12,436,858,446.30

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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.