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Finding the Fourth Proportional to 129,408,207,266.80, 194,112,310,900.24 and 129,408,207,266.80

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Solution

The fourth proportional to 129,408,207,266.80, 194,112,310,900.24 and 129,408,207,266.80 is: 194,112,310,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,408,207,266.80 : 194,112,310,900.24 = 129,408,207,266.80 : x
  2. Step 2: Convert to fraction form
    129,408,207,266.80/194,112,310,900.24 = 129,408,207,266.80/x
  3. Step 3: Cross multiply
    129,408,207,266.80x = 194,112,310,900.24 × 129,408,207,266.80
  4. Step 4: Simplify right side
    129,408,207,266.80x = 25,119,726,162,015,779,028,992
  5. Step 5: Solve for x
    x = 25,119,726,162,015,779,028,992/129,408,207,266.80
  6. Step 6: Final answer
    x = 194,112,310,900.24

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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.