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Finding the Fourth Proportional to 680,224,512,008.55, 1,020,336,768,012.80 and 680,224,512,008.55

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Solution

The fourth proportional to 680,224,512,008.55, 1,020,336,768,012.80 and 680,224,512,008.55 is: 1,020,336,768,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,224,512,008.55 : 1,020,336,768,012.80 = 680,224,512,008.55 : x
  2. Step 2: Convert to fraction form
    680,224,512,008.55/1,020,336,768,012.80 = 680,224,512,008.55/x
  3. Step 3: Cross multiply
    680,224,512,008.55x = 1,020,336,768,012.80 × 680,224,512,008.55
  4. Step 4: Simplify right side
    680,224,512,008.55x = 694,058,080,105,888,116,375,552
  5. Step 5: Solve for x
    x = 694,058,080,105,888,116,375,552/680,224,512,008.55
  6. Step 6: Final answer
    x = 1,020,336,768,012.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.