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Finding the Fourth Proportional to 225,868,511.20, 338,165,037.60 and 225,868,511.20

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Solution

The fourth proportional to 225,868,511.20, 338,165,037.60 and 225,868,511.20 is: 338,165,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,868,511.20 : 338,165,037.60 = 225,868,511.20 : x
  2. Step 2: Convert to fraction form
    225,868,511.20/338,165,037.60 = 225,868,511.20/x
  3. Step 3: Cross multiply
    225,868,511.20x = 338,165,037.60 × 225,868,511.20
  4. Step 4: Simplify right side
    225,868,511.20x = 76,380,833,582,604,016
  5. Step 5: Solve for x
    x = 76,380,833,582,604,016/225,868,511.20
  6. Step 6: Final answer
    x = 338,165,037.60

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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.