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Finding the Fourth Proportional to 442,093,609.80, 663,140,414.70 and 442,093,609.80

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Solution

The fourth proportional to 442,093,609.80, 663,140,414.70 and 442,093,609.80 is: 663,140,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,093,609.80 : 663,140,414.70 = 442,093,609.80 : x
  2. Step 2: Convert to fraction form
    442,093,609.80/663,140,414.70 = 442,093,609.80/x
  3. Step 3: Cross multiply
    442,093,609.80x = 663,140,414.70 × 442,093,609.80
  4. Step 4: Simplify right side
    442,093,609.80x = 293,170,139,738,992,000
  5. Step 5: Solve for x
    x = 293,170,139,738,992,000/442,093,609.80
  6. Step 6: Final answer
    x = 663,140,414.70

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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.