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Finding the Fourth Proportional to 271,296,200.10, 380,324,863.50 and 271,296,200.10

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Solution

The fourth proportional to 271,296,200.10, 380,324,863.50 and 271,296,200.10 is: 380,324,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,296,200.10 : 380,324,863.50 = 271,296,200.10 : x
  2. Step 2: Convert to fraction form
    271,296,200.10/380,324,863.50 = 271,296,200.10/x
  3. Step 3: Cross multiply
    271,296,200.10x = 380,324,863.50 × 271,296,200.10
  4. Step 4: Simplify right side
    271,296,200.10x = 103,180,690,271,101,200
  5. Step 5: Solve for x
    x = 103,180,690,271,101,200/271,296,200.10
  6. Step 6: Final answer
    x = 380,324,863.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.