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Finding the Fourth Proportional to 68,704,306,218.90, 102,911,340,505.95 and 68,704,306,218.90

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Solution

The fourth proportional to 68,704,306,218.90, 102,911,340,505.95 and 68,704,306,218.90 is: 102,911,340,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,704,306,218.90 : 102,911,340,505.95 = 68,704,306,218.90 : x
  2. Step 2: Convert to fraction form
    68,704,306,218.90/102,911,340,505.95 = 68,704,306,218.90/x
  3. Step 3: Cross multiply
    68,704,306,218.90x = 102,911,340,505.95 × 68,704,306,218.90
  4. Step 4: Simplify right side
    68,704,306,218.90x = 7,070,452,251,518,275,944,448
  5. Step 5: Solve for x
    x = 7,070,452,251,518,275,944,448/68,704,306,218.90
  6. Step 6: Final answer
    x = 102,911,340,505.95

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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.