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Finding the Fourth Proportional to 10,019,381,667.20, 15,029,072,500.80 and 10,019,381,667.20

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Solution

The fourth proportional to 10,019,381,667.20, 15,029,072,500.80 and 10,019,381,667.20 is: 15,029,072,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019,381,667.20 : 15,029,072,500.80 = 10,019,381,667.20 : x
  2. Step 2: Convert to fraction form
    10,019,381,667.20/15,029,072,500.80 = 10,019,381,667.20/x
  3. Step 3: Cross multiply
    10,019,381,667.20x = 15,029,072,500.80 × 10,019,381,667.20
  4. Step 4: Simplify right side
    10,019,381,667.20x = 150,582,013,489,535,188,992
  5. Step 5: Solve for x
    x = 150,582,013,489,535,188,992/10,019,381,667.20
  6. Step 6: Final answer
    x = 15,029,072,500.80

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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.