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Finding the Fourth Proportional to 2,099,454,473.20, 3,149,181,709.80 and 2,099,454,473.20

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Solution

The fourth proportional to 2,099,454,473.20, 3,149,181,709.80 and 2,099,454,473.20 is: 3,149,181,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,454,473.20 : 3,149,181,709.80 = 2,099,454,473.20 : x
  2. Step 2: Convert to fraction form
    2,099,454,473.20/3,149,181,709.80 = 2,099,454,473.20/x
  3. Step 3: Cross multiply
    2,099,454,473.20x = 3,149,181,709.80 × 2,099,454,473.20
  4. Step 4: Simplify right side
    2,099,454,473.20x = 6,611,563,627,559,234,560
  5. Step 5: Solve for x
    x = 6,611,563,627,559,234,560/2,099,454,473.20
  6. Step 6: Final answer
    x = 3,149,181,709.80

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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.