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Finding the Fourth Proportional to 10,082,148,907.85, 15,123,223,361.78 and 10,082,148,907.85

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Solution

The fourth proportional to 10,082,148,907.85, 15,123,223,361.78 and 10,082,148,907.85 is: 15,123,223,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,148,907.85 : 15,123,223,361.78 = 10,082,148,907.85 : x
  2. Step 2: Convert to fraction form
    10,082,148,907.85/15,123,223,361.78 = 10,082,148,907.85/x
  3. Step 3: Cross multiply
    10,082,148,907.85x = 15,123,223,361.78 × 10,082,148,907.85
  4. Step 4: Simplify right side
    10,082,148,907.85x = 152,474,589,900,141,854,720
  5. Step 5: Solve for x
    x = 152,474,589,900,141,854,720/10,082,148,907.85
  6. Step 6: Final answer
    x = 15,123,223,361.78

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.