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Finding the Fourth Proportional to 68,397,718,196.20, 102,433,318,619.10 and 68,397,718,196.20

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Solution

The fourth proportional to 68,397,718,196.20, 102,433,318,619.10 and 68,397,718,196.20 is: 102,433,318,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,397,718,196.20 : 102,433,318,619.10 = 68,397,718,196.20 : x
  2. Step 2: Convert to fraction form
    68,397,718,196.20/102,433,318,619.10 = 68,397,718,196.20/x
  3. Step 3: Cross multiply
    68,397,718,196.20x = 102,433,318,619.10 × 68,397,718,196.20
  4. Step 4: Simplify right side
    68,397,718,196.20x = 7,006,205,260,810,768,351,232
  5. Step 5: Solve for x
    x = 7,006,205,260,810,768,351,232/68,397,718,196.20
  6. Step 6: Final answer
    x = 102,433,318,619.10

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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.