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Finding the Fourth Proportional to 201,858,542.14, 302,787,813.62 and 48,504,598.78

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Solution

The fourth proportional to 201,858,542.14, 302,787,813.62 and 48,504,598.78 is: 72,756,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,858,542.14 : 302,787,813.62 = 48,504,598.78 : x
  2. Step 2: Convert to fraction form
    201,858,542.14/302,787,813.62 = 48,504,598.78/x
  3. Step 3: Cross multiply
    201,858,542.14x = 302,787,813.62 × 48,504,598.78
  4. Step 4: Simplify right side
    201,858,542.14x = 14,686,601,415,111,520
  5. Step 5: Solve for x
    x = 14,686,601,415,111,520/201,858,542.14
  6. Step 6: Final answer
    x = 72,756,898.27

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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.