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Finding the Fourth Proportional to 16,175,520,207.40, 24,263,280,311.10 and 16,175,520,207.40

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Solution

The fourth proportional to 16,175,520,207.40, 24,263,280,311.10 and 16,175,520,207.40 is: 24,263,280,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175,520,207.40 : 24,263,280,311.10 = 16,175,520,207.40 : x
  2. Step 2: Convert to fraction form
    16,175,520,207.40/24,263,280,311.10 = 16,175,520,207.40/x
  3. Step 3: Cross multiply
    16,175,520,207.40x = 24,263,280,311.10 × 16,175,520,207.40
  4. Step 4: Simplify right side
    16,175,520,207.40x = 392,471,180,970,008,576,000
  5. Step 5: Solve for x
    x = 392,471,180,970,008,576,000/16,175,520,207.40
  6. Step 6: Final answer
    x = 24,263,280,311.10

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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.