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Finding the Fourth Proportional to 2,052,865,745.20, 3,079,298,617.80 and 2,052,865,745.20

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Solution

The fourth proportional to 2,052,865,745.20, 3,079,298,617.80 and 2,052,865,745.20 is: 3,079,298,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,865,745.20 : 3,079,298,617.80 = 2,052,865,745.20 : x
  2. Step 2: Convert to fraction form
    2,052,865,745.20/3,079,298,617.80 = 2,052,865,745.20/x
  3. Step 3: Cross multiply
    2,052,865,745.20x = 3,079,298,617.80 × 2,052,865,745.20
  4. Step 4: Simplify right side
    2,052,865,745.20x = 6,321,386,651,723,327,488
  5. Step 5: Solve for x
    x = 6,321,386,651,723,327,488/2,052,865,745.20
  6. Step 6: Final answer
    x = 3,079,298,617.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.