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Finding the Fourth Proportional to 23,178,794,119.20, 34,768,191,178.80 and 23,178,794,119.20

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Solution

The fourth proportional to 23,178,794,119.20, 34,768,191,178.80 and 23,178,794,119.20 is: 34,768,191,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178,794,119.20 : 34,768,191,178.80 = 23,178,794,119.20 : x
  2. Step 2: Convert to fraction form
    23,178,794,119.20/34,768,191,178.80 = 23,178,794,119.20/x
  3. Step 3: Cross multiply
    23,178,794,119.20x = 34,768,191,178.80 × 23,178,794,119.20
  4. Step 4: Simplify right side
    23,178,794,119.20x = 805,884,745,230,390,788,096
  5. Step 5: Solve for x
    x = 805,884,745,230,390,788,096/23,178,794,119.20
  6. Step 6: Final answer
    x = 34,768,191,178.80

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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.