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Finding the Fourth Proportional to 6,216,410,863.55, 9,324,616,295.33 and 6,216,410,863.55

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Solution

The fourth proportional to 6,216,410,863.55, 9,324,616,295.33 and 6,216,410,863.55 is: 9,324,616,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216,410,863.55 : 9,324,616,295.33 = 6,216,410,863.55 : x
  2. Step 2: Convert to fraction form
    6,216,410,863.55/9,324,616,295.33 = 6,216,410,863.55/x
  3. Step 3: Cross multiply
    6,216,410,863.55x = 9,324,616,295.33 × 6,216,410,863.55
  4. Step 4: Simplify right side
    6,216,410,863.55x = 57,965,646,036,693,688,320
  5. Step 5: Solve for x
    x = 57,965,646,036,693,688,320/6,216,410,863.55
  6. Step 6: Final answer
    x = 9,324,616,295.33

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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.