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Finding the Fourth Proportional to 680,224,512,124.80, 1,020,336,768,187.20 and 680,224,512,124.80

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Solution

The fourth proportional to 680,224,512,124.80, 1,020,336,768,187.20 and 680,224,512,124.80 is: 1,020,336,768,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,224,512,124.80 : 1,020,336,768,187.20 = 680,224,512,124.80 : x
  2. Step 2: Convert to fraction form
    680,224,512,124.80/1,020,336,768,187.20 = 680,224,512,124.80/x
  3. Step 3: Cross multiply
    680,224,512,124.80x = 1,020,336,768,187.20 × 680,224,512,124.80
  4. Step 4: Simplify right side
    680,224,512,124.80x = 694,058,080,343,133,251,436,544
  5. Step 5: Solve for x
    x = 694,058,080,343,133,251,436,544/680,224,512,124.80
  6. Step 6: Final answer
    x = 1,020,336,768,187.20

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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.