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Finding the Fourth Proportional to 201,644,450.80, 302,466,676.20 and 99,457,442.80

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Solution

The fourth proportional to 201,644,450.80, 302,466,676.20 and 99,457,442.80 is: 149,186,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644,450.80 : 302,466,676.20 = 99,457,442.80 : x
  2. Step 2: Convert to fraction form
    201,644,450.80/302,466,676.20 = 99,457,442.80/x
  3. Step 3: Cross multiply
    201,644,450.80x = 302,466,676.20 × 99,457,442.80
  4. Step 4: Simplify right side
    201,644,450.80x = 30,082,562,147,067,620
  5. Step 5: Solve for x
    x = 30,082,562,147,067,620/201,644,450.80
  6. Step 6: Final answer
    x = 149,186,164.20

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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.