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Finding the Fourth Proportional to 301,613,127.80, 452,419,691.70 and 213,606,498.20

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Solution

The fourth proportional to 301,613,127.80, 452,419,691.70 and 213,606,498.20 is: 320,409,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,613,127.80 : 452,419,691.70 = 213,606,498.20 : x
  2. Step 2: Convert to fraction form
    301,613,127.80/452,419,691.70 = 213,606,498.20/x
  3. Step 3: Cross multiply
    301,613,127.80x = 452,419,691.70 × 213,606,498.20
  4. Step 4: Simplify right side
    301,613,127.80x = 96,639,786,060,760,592
  5. Step 5: Solve for x
    x = 96,639,786,060,760,592/301,613,127.80
  6. Step 6: Final answer
    x = 320,409,747.30

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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.