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Finding the Fourth Proportional to 20,542,829,348.60, 30,814,244,022.90 and 20,542,829,348.60

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Solution

The fourth proportional to 20,542,829,348.60, 30,814,244,022.90 and 20,542,829,348.60 is: 30,814,244,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542,829,348.60 : 30,814,244,022.90 = 20,542,829,348.60 : x
  2. Step 2: Convert to fraction form
    20,542,829,348.60/30,814,244,022.90 = 20,542,829,348.60/x
  3. Step 3: Cross multiply
    20,542,829,348.60x = 30,814,244,022.90 × 20,542,829,348.60
  4. Step 4: Simplify right side
    20,542,829,348.60x = 633,011,756,468,552,204,288
  5. Step 5: Solve for x
    x = 633,011,756,468,552,204,288/20,542,829,348.60
  6. Step 6: Final answer
    x = 30,814,244,022.90

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1.5x scale

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.