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Finding the Fourth Proportional to 3,197,992,078.80, 4,796,988,118.20 and 3,197,992,078.80

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Solution

The fourth proportional to 3,197,992,078.80, 4,796,988,118.20 and 3,197,992,078.80 is: 4,796,988,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,992,078.80 : 4,796,988,118.20 = 3,197,992,078.80 : x
  2. Step 2: Convert to fraction form
    3,197,992,078.80/4,796,988,118.20 = 3,197,992,078.80/x
  3. Step 3: Cross multiply
    3,197,992,078.80x = 4,796,988,118.20 × 3,197,992,078.80
  4. Step 4: Simplify right side
    3,197,992,078.80x = 15,340,730,004,101,318,656
  5. Step 5: Solve for x
    x = 15,340,730,004,101,318,656/3,197,992,078.80
  6. Step 6: Final answer
    x = 4,796,988,118.20

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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.