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Finding the Fourth Proportional to 2,666,164,251,646.30, 3,999,246,377,469.30 and 2,666,164,251,646.30

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Solution

The fourth proportional to 2,666,164,251,646.30, 3,999,246,377,469.30 and 2,666,164,251,646.30 is: 3,999,246,377,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666,164,251,646.30 : 3,999,246,377,469.30 = 2,666,164,251,646.30 : x
  2. Step 2: Convert to fraction form
    2,666,164,251,646.30/3,999,246,377,469.30 = 2,666,164,251,646.30/x
  3. Step 3: Cross multiply
    2,666,164,251,646.30x = 3,999,246,377,469.30 × 2,666,164,251,646.30
  4. Step 4: Simplify right side
    2,666,164,251,646.30x = 10,662,647,725,134,612,065,681,408
  5. Step 5: Solve for x
    x = 10,662,647,725,134,612,065,681,408/2,666,164,251,646.30
  6. Step 6: Final answer
    x = 3,999,246,377,469.30

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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.