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Finding the Fourth Proportional to 29,682,496,647.20, 44,523,744,970.80 and 29,682,496,647.20

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Solution

The fourth proportional to 29,682,496,647.20, 44,523,744,970.80 and 29,682,496,647.20 is: 44,523,744,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682,496,647.20 : 44,523,744,970.80 = 29,682,496,647.20 : x
  2. Step 2: Convert to fraction form
    29,682,496,647.20/44,523,744,970.80 = 29,682,496,647.20/x
  3. Step 3: Cross multiply
    29,682,496,647.20x = 44,523,744,970.80 × 29,682,496,647.20
  4. Step 4: Simplify right side
    29,682,496,647.20x = 1,321,575,910,816,558,874,624
  5. Step 5: Solve for x
    x = 1,321,575,910,816,558,874,624/29,682,496,647.20
  6. Step 6: Final answer
    x = 44,523,744,970.80

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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.