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Finding the Fourth Proportional to 82,037,400.70, 123,056,101.05 and 82,037,400.70

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Solution

The fourth proportional to 82,037,400.70, 123,056,101.05 and 82,037,400.70 is: 123,056,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,037,400.70 : 123,056,101.05 = 82,037,400.70 : x
  2. Step 2: Convert to fraction form
    82,037,400.70/123,056,101.05 = 82,037,400.70/x
  3. Step 3: Cross multiply
    82,037,400.70x = 123,056,101.05 × 82,037,400.70
  4. Step 4: Simplify right side
    82,037,400.70x = 10,095,202,670,418,540
  5. Step 5: Solve for x
    x = 10,095,202,670,418,540/82,037,400.70
  6. Step 6: Final answer
    x = 123,056,101.05

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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.