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Finding the Fourth Proportional to 2,137,428,611.85, 3,201,041,084.13 and 2,137,428,611.85

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Solution

The fourth proportional to 2,137,428,611.85, 3,201,041,084.13 and 2,137,428,611.85 is: 3,201,041,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,428,611.85 : 3,201,041,084.13 = 2,137,428,611.85 : x
  2. Step 2: Convert to fraction form
    2,137,428,611.85/3,201,041,084.13 = 2,137,428,611.85/x
  3. Step 3: Cross multiply
    2,137,428,611.85x = 3,201,041,084.13 × 2,137,428,611.85
  4. Step 4: Simplify right side
    2,137,428,611.85x = 6,841,996,800,926,804,992
  5. Step 5: Solve for x
    x = 6,841,996,800,926,804,992/2,137,428,611.85
  6. Step 6: Final answer
    x = 3,201,041,084.13

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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.