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Finding the Fourth Proportional to 827,453,637,082.80, 1,241,180,455,624.30 and 827,453,637,082.80

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Solution

The fourth proportional to 827,453,637,082.80, 1,241,180,455,624.30 and 827,453,637,082.80 is: 1,241,180,455,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,453,637,082.80 : 1,241,180,455,624.30 = 827,453,637,082.80 : x
  2. Step 2: Convert to fraction form
    827,453,637,082.80/1,241,180,455,624.30 = 827,453,637,082.80/x
  3. Step 3: Cross multiply
    827,453,637,082.80x = 1,241,180,455,624.30 × 827,453,637,082.80
  4. Step 4: Simplify right side
    827,453,637,082.80x = 1,027,019,282,282,414,048,542,720
  5. Step 5: Solve for x
    x = 1,027,019,282,282,414,048,542,720/827,453,637,082.80
  6. Step 6: Final answer
    x = 1,241,180,455,624.30

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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.