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Finding the Fourth Proportional to 522,224,259,728.90, 783,694,206,647 and 182,263,437,702.55

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Solution

The fourth proportional to 522,224,259,728.90, 783,694,206,647 and 182,263,437,702.55 is: 273,520,039,619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,224,259,728.90 : 783,694,206,647 = 182,263,437,702.55 : x
  2. Step 2: Convert to fraction form
    522,224,259,728.90/783,694,206,647 = 182,263,437,702.55/x
  3. Step 3: Cross multiply
    522,224,259,728.90x = 783,694,206,647 × 182,263,437,702.55
  4. Step 4: Simplify right side
    522,224,259,728.90x = 142,838,800,211,054,820,327,424
  5. Step 5: Solve for x
    x = 142,838,800,211,054,820,327,424/522,224,259,728.90
  6. Step 6: Final answer
    x = 273,520,039,619.01

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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.