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Finding the Fourth Proportional to 68,100,998,237.30, 102,151,497,355.95 and 68,100,998,237.30

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Solution

The fourth proportional to 68,100,998,237.30, 102,151,497,355.95 and 68,100,998,237.30 is: 102,151,497,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,100,998,237.30 : 102,151,497,355.95 = 68,100,998,237.30 : x
  2. Step 2: Convert to fraction form
    68,100,998,237.30/102,151,497,355.95 = 68,100,998,237.30/x
  3. Step 3: Cross multiply
    68,100,998,237.30x = 102,151,497,355.95 × 68,100,998,237.30
  4. Step 4: Simplify right side
    68,100,998,237.30x = 6,956,618,941,375,106,252,800
  5. Step 5: Solve for x
    x = 6,956,618,941,375,106,252,800/68,100,998,237.30
  6. Step 6: Final answer
    x = 102,151,497,355.95

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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.