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Finding the Fourth Proportional to 201,469,913.80, 302,204,870.70 and 65,169,075.40

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Solution

The fourth proportional to 201,469,913.80, 302,204,870.70 and 65,169,075.40 is: 97,753,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,469,913.80 : 302,204,870.70 = 65,169,075.40 : x
  2. Step 2: Convert to fraction form
    201,469,913.80/302,204,870.70 = 65,169,075.40/x
  3. Step 3: Cross multiply
    201,469,913.80x = 302,204,870.70 × 65,169,075.40
  4. Step 4: Simplify right side
    201,469,913.80x = 19,694,412,004,895,548
  5. Step 5: Solve for x
    x = 19,694,412,004,895,548/201,469,913.80
  6. Step 6: Final answer
    x = 97,753,613.10

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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.