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Finding the Fourth Proportional to 229,566,748, 316,915,215.24 and 159,055,826.80

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Solution

The fourth proportional to 229,566,748, 316,915,215.24 and 159,055,826.80 is: 219,575,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,566,748 : 316,915,215.24 = 159,055,826.80 : x
  2. Step 2: Convert to fraction form
    229,566,748/316,915,215.24 = 159,055,826.80/x
  3. Step 3: Cross multiply
    229,566,748x = 316,915,215.24 × 159,055,826.80
  4. Step 4: Simplify right side
    229,566,748x = 50,407,211,585,498,168
  5. Step 5: Solve for x
    x = 50,407,211,585,498,168/229,566,748
  6. Step 6: Final answer
    x = 219,575,404.65

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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.