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Finding the Fourth Proportional to 782,769,806.12, 1,171,599,756.96 and 575,453,294.30

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Solution

The fourth proportional to 782,769,806.12, 1,171,599,756.96 and 575,453,294.30 is: 861,301,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,769,806.12 : 1,171,599,756.96 = 575,453,294.30 : x
  2. Step 2: Convert to fraction form
    782,769,806.12/1,171,599,756.96 = 575,453,294.30/x
  3. Step 3: Cross multiply
    782,769,806.12x = 1,171,599,756.96 × 575,453,294.30
  4. Step 4: Simplify right side
    782,769,806.12x = 674,200,939,743,711,360
  5. Step 5: Solve for x
    x = 674,200,939,743,711,360/782,769,806.12
  6. Step 6: Final answer
    x = 861,301,668.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.