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Finding the Fourth Proportional to 8,517,819,009.10, 12,776,728,513.65 and 8,517,819,009.10

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Solution

The fourth proportional to 8,517,819,009.10, 12,776,728,513.65 and 8,517,819,009.10 is: 12,776,728,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517,819,009.10 : 12,776,728,513.65 = 8,517,819,009.10 : x
  2. Step 2: Convert to fraction form
    8,517,819,009.10/12,776,728,513.65 = 8,517,819,009.10/x
  3. Step 3: Cross multiply
    8,517,819,009.10x = 12,776,728,513.65 × 8,517,819,009.10
  4. Step 4: Simplify right side
    8,517,819,009.10x = 108,829,861,007,677,964,288
  5. Step 5: Solve for x
    x = 108,829,861,007,677,964,288/8,517,819,009.10
  6. Step 6: Final answer
    x = 12,776,728,513.65

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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.