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Finding the Fourth Proportional to 2,872,994,469.60, 4,309,491,704.40 and 2,872,994,469.60

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Solution

The fourth proportional to 2,872,994,469.60, 4,309,491,704.40 and 2,872,994,469.60 is: 4,309,491,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872,994,469.60 : 4,309,491,704.40 = 2,872,994,469.60 : x
  2. Step 2: Convert to fraction form
    2,872,994,469.60/4,309,491,704.40 = 2,872,994,469.60/x
  3. Step 3: Cross multiply
    2,872,994,469.60x = 4,309,491,704.40 × 2,872,994,469.60
  4. Step 4: Simplify right side
    2,872,994,469.60x = 12,381,145,833,528,276,992
  5. Step 5: Solve for x
    x = 12,381,145,833,528,276,992/2,872,994,469.60
  6. Step 6: Final answer
    x = 4,309,491,704.40

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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.