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Finding the Fourth Proportional to 321,903,806.40, 482,981,680.80 and 117,452,548.80

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Solution

The fourth proportional to 321,903,806.40, 482,981,680.80 and 117,452,548.80 is: 176,224,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,903,806.40 : 482,981,680.80 = 117,452,548.80 : x
  2. Step 2: Convert to fraction form
    321,903,806.40/482,981,680.80 = 117,452,548.80/x
  3. Step 3: Cross multiply
    321,903,806.40x = 482,981,680.80 × 117,452,548.80
  4. Step 4: Simplify right side
    321,903,806.40x = 56,727,429,433,668,024
  5. Step 5: Solve for x
    x = 56,727,429,433,668,024/321,903,806.40
  6. Step 6: Final answer
    x = 176,224,786.12

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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.