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Finding the Fourth Proportional to 543,504,851.60, 814,300,683.60 and 466,977,347.60

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Solution

The fourth proportional to 543,504,851.60, 814,300,683.60 and 466,977,347.60 is: 699,644,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,504,851.60 : 814,300,683.60 = 466,977,347.60 : x
  2. Step 2: Convert to fraction form
    543,504,851.60/814,300,683.60 = 466,977,347.60/x
  3. Step 3: Cross multiply
    543,504,851.60x = 814,300,683.60 × 466,977,347.60
  4. Step 4: Simplify right side
    543,504,851.60x = 380,259,973,376,394,880
  5. Step 5: Solve for x
    x = 380,259,973,376,394,880/543,504,851.60
  6. Step 6: Final answer
    x = 699,644,119.56

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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.