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Finding the Fourth Proportional to 2,689,962,436,906.80, 4,034,943,655,359.90 and 2,689,962,436,906.80

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Solution

The fourth proportional to 2,689,962,436,906.80, 4,034,943,655,359.90 and 2,689,962,436,906.80 is: 4,034,943,655,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689,962,436,906.80 : 4,034,943,655,359.90 = 2,689,962,436,906.80 : x
  2. Step 2: Convert to fraction form
    2,689,962,436,906.80/4,034,943,655,359.90 = 2,689,962,436,906.80/x
  3. Step 3: Cross multiply
    2,689,962,436,906.80x = 4,034,943,655,359.90 × 2,689,962,436,906.80
  4. Step 4: Simplify right side
    2,689,962,436,906.80x = 10,853,846,867,953,545,857,990,656
  5. Step 5: Solve for x
    x = 10,853,846,867,953,545,857,990,656/2,689,962,436,906.80
  6. Step 6: Final answer
    x = 4,034,943,655,359.90

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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.