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Finding the Fourth Proportional to 13,119,768,013.70, 19,679,652,020.55 and 13,119,768,013.70

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Solution

The fourth proportional to 13,119,768,013.70, 19,679,652,020.55 and 13,119,768,013.70 is: 19,679,652,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119,768,013.70 : 19,679,652,020.55 = 13,119,768,013.70 : x
  2. Step 2: Convert to fraction form
    13,119,768,013.70/19,679,652,020.55 = 13,119,768,013.70/x
  3. Step 3: Cross multiply
    13,119,768,013.70x = 19,679,652,020.55 × 13,119,768,013.70
  4. Step 4: Simplify right side
    13,119,768,013.70x = 258,192,469,099,958,468,608
  5. Step 5: Solve for x
    x = 258,192,469,099,958,468,608/13,119,768,013.70
  6. Step 6: Final answer
    x = 19,679,652,020.55

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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.