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Finding the Fourth Proportional to 68,876,796,458.20, 103,151,936,012.10 and 68,876,796,458.20

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Solution

The fourth proportional to 68,876,796,458.20, 103,151,936,012.10 and 68,876,796,458.20 is: 103,151,936,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,876,796,458.20 : 103,151,936,012.10 = 68,876,796,458.20 : x
  2. Step 2: Convert to fraction form
    68,876,796,458.20/103,151,936,012.10 = 68,876,796,458.20/x
  3. Step 3: Cross multiply
    68,876,796,458.20x = 103,151,936,012.10 × 68,876,796,458.20
  4. Step 4: Simplify right side
    68,876,796,458.20x = 7,104,774,900,974,682,636,288
  5. Step 5: Solve for x
    x = 7,104,774,900,974,682,636,288/68,876,796,458.20
  6. Step 6: Final answer
    x = 103,151,936,012.10

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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.