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Finding the Fourth Proportional to 178,094,982,649.20, 267,142,473,973.80 and 178,094,982,649.20

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Solution

The fourth proportional to 178,094,982,649.20, 267,142,473,973.80 and 178,094,982,649.20 is: 267,142,473,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,094,982,649.20 : 267,142,473,973.80 = 178,094,982,649.20 : x
  2. Step 2: Convert to fraction form
    178,094,982,649.20/267,142,473,973.80 = 178,094,982,649.20/x
  3. Step 3: Cross multiply
    178,094,982,649.20x = 267,142,473,973.80 × 178,094,982,649.20
  4. Step 4: Simplify right side
    178,094,982,649.20x = 47,576,734,267,228,276,391,936
  5. Step 5: Solve for x
    x = 47,576,734,267,228,276,391,936/178,094,982,649.20
  6. Step 6: Final answer
    x = 267,142,473,973.80

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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.