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Finding the Fourth Proportional to 680,224,512,255.30, 1,020,336,768,382.90 and 680,224,512,255.30

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Solution

The fourth proportional to 680,224,512,255.30, 1,020,336,768,382.90 and 680,224,512,255.30 is: 1,020,336,768,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,224,512,255.30 : 1,020,336,768,382.90 = 680,224,512,255.30 : x
  2. Step 2: Convert to fraction form
    680,224,512,255.30/1,020,336,768,382.90 = 680,224,512,255.30/x
  3. Step 3: Cross multiply
    680,224,512,255.30x = 1,020,336,768,382.90 × 680,224,512,255.30
  4. Step 4: Simplify right side
    680,224,512,255.30x = 694,058,080,609,407,265,144,832
  5. Step 5: Solve for x
    x = 694,058,080,609,407,265,144,832/680,224,512,255.30
  6. Step 6: Final answer
    x = 1,020,336,768,382.90

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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.