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Finding the Fourth Proportional to 12,410,588,204.70, 18,615,882,307.05 and 12,410,588,204.70

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Solution

The fourth proportional to 12,410,588,204.70, 18,615,882,307.05 and 12,410,588,204.70 is: 18,615,882,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410,588,204.70 : 18,615,882,307.05 = 12,410,588,204.70 : x
  2. Step 2: Convert to fraction form
    12,410,588,204.70/18,615,882,307.05 = 12,410,588,204.70/x
  3. Step 3: Cross multiply
    12,410,588,204.70x = 18,615,882,307.05 × 12,410,588,204.70
  4. Step 4: Simplify right side
    12,410,588,204.70x = 231,034,049,379,958,161,408
  5. Step 5: Solve for x
    x = 231,034,049,379,958,161,408/12,410,588,204.70
  6. Step 6: Final answer
    x = 18,615,882,307.05

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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.