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Finding the Fourth Proportional to 2,640,198,889,786.20, 3,960,298,334,679.10 and 2,640,198,889,786.20

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Solution

The fourth proportional to 2,640,198,889,786.20, 3,960,298,334,679.10 and 2,640,198,889,786.20 is: 3,960,298,334,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,198,889,786.20 : 3,960,298,334,679.10 = 2,640,198,889,786.20 : x
  2. Step 2: Convert to fraction form
    2,640,198,889,786.20/3,960,298,334,679.10 = 2,640,198,889,786.20/x
  3. Step 3: Cross multiply
    2,640,198,889,786.20x = 3,960,298,334,679.10 × 2,640,198,889,786.20
  4. Step 4: Simplify right side
    2,640,198,889,786.20x = 10,455,975,266,441,897,567,059,968
  5. Step 5: Solve for x
    x = 10,455,975,266,441,897,567,059,968/2,640,198,889,786.20
  6. Step 6: Final answer
    x = 3,960,298,334,679.10

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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.