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Finding the Fourth Proportional to 68,961,941,998.80, 103,442,912,998.20 and 68,961,941,998.80

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Solution

The fourth proportional to 68,961,941,998.80, 103,442,912,998.20 and 68,961,941,998.80 is: 103,442,912,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,961,941,998.80 : 103,442,912,998.20 = 68,961,941,998.80 : x
  2. Step 2: Convert to fraction form
    68,961,941,998.80/103,442,912,998.20 = 68,961,941,998.80/x
  3. Step 3: Cross multiply
    68,961,941,998.80x = 103,442,912,998.20 × 68,961,941,998.80
  4. Step 4: Simplify right side
    68,961,941,998.80x = 7,133,624,166,368,782,843,904
  5. Step 5: Solve for x
    x = 7,133,624,166,368,782,843,904/68,961,941,998.80
  6. Step 6: Final answer
    x = 103,442,912,998.20

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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.