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Finding the Fourth Proportional to 178,094,986,531.20, 267,142,479,796.80 and 178,094,986,531.20

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Solution

The fourth proportional to 178,094,986,531.20, 267,142,479,796.80 and 178,094,986,531.20 is: 267,142,479,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,094,986,531.20 : 267,142,479,796.80 = 178,094,986,531.20 : x
  2. Step 2: Convert to fraction form
    178,094,986,531.20/267,142,479,796.80 = 178,094,986,531.20/x
  3. Step 3: Cross multiply
    178,094,986,531.20x = 267,142,479,796.80 × 178,094,986,531.20
  4. Step 4: Simplify right side
    178,094,986,531.20x = 47,576,736,341,322,467,639,296
  5. Step 5: Solve for x
    x = 47,576,736,341,322,467,639,296/178,094,986,531.20
  6. Step 6: Final answer
    x = 267,142,479,796.80

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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.