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Finding the Fourth Proportional to 201,899,073.80, 302,848,610.70 and 200,623,615.40

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Solution

The fourth proportional to 201,899,073.80, 302,848,610.70 and 200,623,615.40 is: 300,935,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,899,073.80 : 302,848,610.70 = 200,623,615.40 : x
  2. Step 2: Convert to fraction form
    201,899,073.80/302,848,610.70 = 200,623,615.40/x
  3. Step 3: Cross multiply
    201,899,073.80x = 302,848,610.70 × 200,623,615.40
  4. Step 4: Simplify right side
    201,899,073.80x = 60,758,583,197,501,128
  5. Step 5: Solve for x
    x = 60,758,583,197,501,128/201,899,073.80
  6. Step 6: Final answer
    x = 300,935,423.10

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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.