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Finding the Fourth Proportional to 314,265,229.92, 433,668,867.84 and 173,108,810.88

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Solution

The fourth proportional to 314,265,229.92, 433,668,867.84 and 173,108,810.88 is: 238,880,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,265,229.92 : 433,668,867.84 = 173,108,810.88 : x
  2. Step 2: Convert to fraction form
    314,265,229.92/433,668,867.84 = 173,108,810.88/x
  3. Step 3: Cross multiply
    314,265,229.92x = 433,668,867.84 × 173,108,810.88
  4. Step 4: Simplify right side
    314,265,229.92x = 75,071,902,027,458,272
  5. Step 5: Solve for x
    x = 75,071,902,027,458,272/314,265,229.92
  6. Step 6: Final answer
    x = 238,880,712.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.