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Finding the Fourth Proportional to 15,683,667,103.80, 22,012,233,748.20 and 15,683,667,103.80

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Solution

The fourth proportional to 15,683,667,103.80, 22,012,233,748.20 and 15,683,667,103.80 is: 22,012,233,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683,667,103.80 : 22,012,233,748.20 = 15,683,667,103.80 : x
  2. Step 2: Convert to fraction form
    15,683,667,103.80/22,012,233,748.20 = 15,683,667,103.80/x
  3. Step 3: Cross multiply
    15,683,667,103.80x = 22,012,233,748.20 × 15,683,667,103.80
  4. Step 4: Simplify right side
    15,683,667,103.80x = 345,232,546,317,800,505,344
  5. Step 5: Solve for x
    x = 345,232,546,317,800,505,344/15,683,667,103.80
  6. Step 6: Final answer
    x = 22,012,233,748.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.