Home / 509,282,174,778.32-702,811,586,170.32-277,800,738,584.60

Finding the Fourth Proportional to 509,282,174,778.32, 702,811,586,170.32 and 277,800,738,584.60

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Solution

The fourth proportional to 509,282,174,778.32, 702,811,586,170.32 and 277,800,738,584.60 is: 383,366,211,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,282,174,778.32 : 702,811,586,170.32 = 277,800,738,584.60 : x
  2. Step 2: Convert to fraction form
    509,282,174,778.32/702,811,586,170.32 = 277,800,738,584.60/x
  3. Step 3: Cross multiply
    509,282,174,778.32x = 702,811,586,170.32 × 277,800,738,584.60
  4. Step 4: Simplify right side
    509,282,174,778.32x = 195,241,577,723,929,112,346,624
  5. Step 5: Solve for x
    x = 195,241,577,723,929,112,346,624/509,282,174,778.32
  6. Step 6: Final answer
    x = 383,366,211,096.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.