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Finding the Fourth Proportional to 382,331,880.34, 573,497,978.90 and 171,996,887

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Solution

The fourth proportional to 382,331,880.34, 573,497,978.90 and 171,996,887 is: 257,995,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,331,880.34 : 573,497,978.90 = 171,996,887 : x
  2. Step 2: Convert to fraction form
    382,331,880.34/573,497,978.90 = 171,996,887/x
  3. Step 3: Cross multiply
    382,331,880.34x = 573,497,978.90 × 171,996,887
  4. Step 4: Simplify right side
    382,331,880.34x = 98,639,867,071,591,680
  5. Step 5: Solve for x
    x = 98,639,867,071,591,680/382,331,880.34
  6. Step 6: Final answer
    x = 257,995,401.75

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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.