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Finding the Fourth Proportional to 201,463,266.30, 302,194,899.45 and 65,162,427.90

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Solution

The fourth proportional to 201,463,266.30, 302,194,899.45 and 65,162,427.90 is: 97,743,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,463,266.30 : 302,194,899.45 = 65,162,427.90 : x
  2. Step 2: Convert to fraction form
    201,463,266.30/302,194,899.45 = 65,162,427.90/x
  3. Step 3: Cross multiply
    201,463,266.30x = 302,194,899.45 × 65,162,427.90
  4. Step 4: Simplify right side
    201,463,266.30x = 19,691,753,347,158,372
  5. Step 5: Solve for x
    x = 19,691,753,347,158,372/201,463,266.30
  6. Step 6: Final answer
    x = 97,743,641.85

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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.