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Finding the Fourth Proportional to 204,034,205.90, 306,051,308.85 and 204,034,205.90

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Solution

The fourth proportional to 204,034,205.90, 306,051,308.85 and 204,034,205.90 is: 306,051,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,034,205.90 : 306,051,308.85 = 204,034,205.90 : x
  2. Step 2: Convert to fraction form
    204,034,205.90/306,051,308.85 = 204,034,205.90/x
  3. Step 3: Cross multiply
    204,034,205.90x = 306,051,308.85 × 204,034,205.90
  4. Step 4: Simplify right side
    204,034,205.90x = 62,444,935,765,865,400
  5. Step 5: Solve for x
    x = 62,444,935,765,865,400/204,034,205.90
  6. Step 6: Final answer
    x = 306,051,308.85

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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.