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Finding the Fourth Proportional to 202,446,218.80, 303,669,328.20 and 148,300,375.60

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Solution

The fourth proportional to 202,446,218.80, 303,669,328.20 and 148,300,375.60 is: 222,450,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446,218.80 : 303,669,328.20 = 148,300,375.60 : x
  2. Step 2: Convert to fraction form
    202,446,218.80/303,669,328.20 = 148,300,375.60/x
  3. Step 3: Cross multiply
    202,446,218.80x = 303,669,328.20 × 148,300,375.60
  4. Step 4: Simplify right side
    202,446,218.80x = 45,034,275,430,259,672
  5. Step 5: Solve for x
    x = 45,034,275,430,259,672/202,446,218.80
  6. Step 6: Final answer
    x = 222,450,563.40

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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.