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Finding the Fourth Proportional to 178,143,480.30, 267,215,220.45 and 178,143,480.30

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Solution

The fourth proportional to 178,143,480.30, 267,215,220.45 and 178,143,480.30 is: 267,215,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,143,480.30 : 267,215,220.45 = 178,143,480.30 : x
  2. Step 2: Convert to fraction form
    178,143,480.30/267,215,220.45 = 178,143,480.30/x
  3. Step 3: Cross multiply
    178,143,480.30x = 267,215,220.45 × 178,143,480.30
  4. Step 4: Simplify right side
    178,143,480.30x = 47,602,649,360,094,736
  5. Step 5: Solve for x
    x = 47,602,649,360,094,736/178,143,480.30
  6. Step 6: Final answer
    x = 267,215,220.45

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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.