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Finding the Fourth Proportional to 10,082,137,510.85, 15,123,206,266.28 and 10,082,137,510.85

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Solution

The fourth proportional to 10,082,137,510.85, 15,123,206,266.28 and 10,082,137,510.85 is: 15,123,206,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,137,510.85 : 15,123,206,266.28 = 10,082,137,510.85 : x
  2. Step 2: Convert to fraction form
    10,082,137,510.85/15,123,206,266.28 = 10,082,137,510.85/x
  3. Step 3: Cross multiply
    10,082,137,510.85x = 15,123,206,266.28 × 10,082,137,510.85
  4. Step 4: Simplify right side
    10,082,137,510.85x = 152,474,245,181,532,962,816
  5. Step 5: Solve for x
    x = 152,474,245,181,532,962,816/10,082,137,510.85
  6. Step 6: Final answer
    x = 15,123,206,266.28

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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.