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Finding the Fourth Proportional to 202,243,321.80, 303,364,982.70 and 200,227,782.60

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Solution

The fourth proportional to 202,243,321.80, 303,364,982.70 and 200,227,782.60 is: 300,341,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,243,321.80 : 303,364,982.70 = 200,227,782.60 : x
  2. Step 2: Convert to fraction form
    202,243,321.80/303,364,982.70 = 200,227,782.60/x
  3. Step 3: Cross multiply
    202,243,321.80x = 303,364,982.70 × 200,227,782.60
  4. Step 4: Simplify right side
    202,243,321.80x = 60,742,097,804,508,360
  5. Step 5: Solve for x
    x = 60,742,097,804,508,360/202,243,321.80
  6. Step 6: Final answer
    x = 300,341,673.90

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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.