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Finding the Fourth Proportional to 2,472,396,817,270.80, 3,708,595,225,906.70 and 2,472,396,817,270.80

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Solution

The fourth proportional to 2,472,396,817,270.80, 3,708,595,225,906.70 and 2,472,396,817,270.80 is: 3,708,595,225,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,396,817,270.80 : 3,708,595,225,906.70 = 2,472,396,817,270.80 : x
  2. Step 2: Convert to fraction form
    2,472,396,817,270.80/3,708,595,225,906.70 = 2,472,396,817,270.80/x
  3. Step 3: Cross multiply
    2,472,396,817,270.80x = 3,708,595,225,906.70 × 2,472,396,817,270.80
  4. Step 4: Simplify right side
    2,472,396,817,270.80x = 9,169,119,033,077,408,502,644,736
  5. Step 5: Solve for x
    x = 9,169,119,033,077,408,502,644,736/2,472,396,817,270.80
  6. Step 6: Final answer
    x = 3,708,595,225,906.70

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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.