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Finding the Fourth Proportional to 1,328,600,511.15, 1,992,900,766.73 and 1,328,600,511.15

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Solution

The fourth proportional to 1,328,600,511.15, 1,992,900,766.73 and 1,328,600,511.15 is: 1,992,900,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,600,511.15 : 1,992,900,766.73 = 1,328,600,511.15 : x
  2. Step 2: Convert to fraction form
    1,328,600,511.15/1,992,900,766.73 = 1,328,600,511.15/x
  3. Step 3: Cross multiply
    1,328,600,511.15x = 1,992,900,766.73 × 1,328,600,511.15
  4. Step 4: Simplify right side
    1,328,600,511.15x = 2,647,768,977,342,062,080
  5. Step 5: Solve for x
    x = 2,647,768,977,342,062,080/1,328,600,511.15
  6. Step 6: Final answer
    x = 1,992,900,766.73

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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.