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Finding the Fourth Proportional to 272,523,304.80, 408,113,110.80 and 181,152,194.40

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Solution

The fourth proportional to 272,523,304.80, 408,113,110.80 and 181,152,194.40 is: 271,281,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,523,304.80 : 408,113,110.80 = 181,152,194.40 : x
  2. Step 2: Convert to fraction form
    272,523,304.80/408,113,110.80 = 181,152,194.40/x
  3. Step 3: Cross multiply
    272,523,304.80x = 408,113,110.80 × 181,152,194.40
  4. Step 4: Simplify right side
    272,523,304.80x = 73,930,585,584,830,352
  5. Step 5: Solve for x
    x = 73,930,585,584,830,352/272,523,304.80
  6. Step 6: Final answer
    x = 271,281,700.62

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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.