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Finding the Fourth Proportional to 200,202,404.80, 300,303,607.20 and 157,204,235.20

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Solution

The fourth proportional to 200,202,404.80, 300,303,607.20 and 157,204,235.20 is: 235,806,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,202,404.80 : 300,303,607.20 = 157,204,235.20 : x
  2. Step 2: Convert to fraction form
    200,202,404.80/300,303,607.20 = 157,204,235.20/x
  3. Step 3: Cross multiply
    200,202,404.80x = 300,303,607.20 × 157,204,235.20
  4. Step 4: Simplify right side
    200,202,404.80x = 47,208,998,897,677,208
  5. Step 5: Solve for x
    x = 47,208,998,897,677,208/200,202,404.80
  6. Step 6: Final answer
    x = 235,806,352.80

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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.