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Finding the Fourth Proportional to 26,082,162,003.70, 39,123,243,005.55 and 26,082,162,003.70

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Solution

The fourth proportional to 26,082,162,003.70, 39,123,243,005.55 and 26,082,162,003.70 is: 39,123,243,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082,162,003.70 : 39,123,243,005.55 = 26,082,162,003.70 : x
  2. Step 2: Convert to fraction form
    26,082,162,003.70/39,123,243,005.55 = 26,082,162,003.70/x
  3. Step 3: Cross multiply
    26,082,162,003.70x = 39,123,243,005.55 × 26,082,162,003.70
  4. Step 4: Simplify right side
    26,082,162,003.70x = 1,020,418,762,180,878,139,392
  5. Step 5: Solve for x
    x = 1,020,418,762,180,878,139,392/26,082,162,003.70
  6. Step 6: Final answer
    x = 39,123,243,005.55

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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.