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Finding the Fourth Proportional to 18,100,596,200.10, 27,150,894,300.15 and 18,100,596,200.10

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Solution

The fourth proportional to 18,100,596,200.10, 27,150,894,300.15 and 18,100,596,200.10 is: 27,150,894,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,100,596,200.10 : 27,150,894,300.15 = 18,100,596,200.10 : x
  2. Step 2: Convert to fraction form
    18,100,596,200.10/27,150,894,300.15 = 18,100,596,200.10/x
  3. Step 3: Cross multiply
    18,100,596,200.10x = 27,150,894,300.15 × 18,100,596,200.10
  4. Step 4: Simplify right side
    18,100,596,200.10x = 491,447,374,198,611,836,928
  5. Step 5: Solve for x
    x = 491,447,374,198,611,836,928/18,100,596,200.10
  6. Step 6: Final answer
    x = 27,150,894,300.15

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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.