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Finding the Fourth Proportional to 8,238,019,476.20, 12,357,029,214.30 and 8,238,019,476.20

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Solution

The fourth proportional to 8,238,019,476.20, 12,357,029,214.30 and 8,238,019,476.20 is: 12,357,029,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238,019,476.20 : 12,357,029,214.30 = 8,238,019,476.20 : x
  2. Step 2: Convert to fraction form
    8,238,019,476.20/12,357,029,214.30 = 8,238,019,476.20/x
  3. Step 3: Cross multiply
    8,238,019,476.20x = 12,357,029,214.30 × 8,238,019,476.20
  4. Step 4: Simplify right side
    8,238,019,476.20x = 101,797,447,335,375,781,888
  5. Step 5: Solve for x
    x = 101,797,447,335,375,781,888/8,238,019,476.20
  6. Step 6: Final answer
    x = 12,357,029,214.30

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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.