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Finding the Fourth Proportional to 2,328,941,565,129.60, 3,493,412,347,694.40 and 2,328,941,565,129.60

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Solution

The fourth proportional to 2,328,941,565,129.60, 3,493,412,347,694.40 and 2,328,941,565,129.60 is: 3,493,412,347,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328,941,565,129.60 : 3,493,412,347,694.40 = 2,328,941,565,129.60 : x
  2. Step 2: Convert to fraction form
    2,328,941,565,129.60/3,493,412,347,694.40 = 2,328,941,565,129.60/x
  3. Step 3: Cross multiply
    2,328,941,565,129.60x = 3,493,412,347,694.40 × 2,328,941,565,129.60
  4. Step 4: Simplify right side
    2,328,941,565,129.60x = 8,135,953,220,682,466,340,110,336
  5. Step 5: Solve for x
    x = 8,135,953,220,682,466,340,110,336/2,328,941,565,129.60
  6. Step 6: Final answer
    x = 3,493,412,347,694.40

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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.