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Finding the Fourth Proportional to 26,082,162,493.20, 39,123,243,739.80 and 26,082,162,493.20

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Solution

The fourth proportional to 26,082,162,493.20, 39,123,243,739.80 and 26,082,162,493.20 is: 39,123,243,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082,162,493.20 : 39,123,243,739.80 = 26,082,162,493.20 : x
  2. Step 2: Convert to fraction form
    26,082,162,493.20/39,123,243,739.80 = 26,082,162,493.20/x
  3. Step 3: Cross multiply
    26,082,162,493.20x = 39,123,243,739.80 × 26,082,162,493.20
  4. Step 4: Simplify right side
    26,082,162,493.20x = 1,020,418,800,482,533,376,000
  5. Step 5: Solve for x
    x = 1,020,418,800,482,533,376,000/26,082,162,493.20
  6. Step 6: Final answer
    x = 39,123,243,739.80

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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.