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Finding the Fourth Proportional to 201,463,284.80, 302,194,927.20 and 65,162,446.40

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Solution

The fourth proportional to 201,463,284.80, 302,194,927.20 and 65,162,446.40 is: 97,743,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,463,284.80 : 302,194,927.20 = 65,162,446.40 : x
  2. Step 2: Convert to fraction form
    201,463,284.80/302,194,927.20 = 65,162,446.40/x
  3. Step 3: Cross multiply
    201,463,284.80x = 302,194,927.20 × 65,162,446.40
  4. Step 4: Simplify right side
    201,463,284.80x = 19,691,760,746,021,900
  5. Step 5: Solve for x
    x = 19,691,760,746,021,900/201,463,284.80
  6. Step 6: Final answer
    x = 97,743,669.60

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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.