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Finding the Fourth Proportional to 204,039,912.40, 306,059,868.64 and 204,039,912.40

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Solution

The fourth proportional to 204,039,912.40, 306,059,868.64 and 204,039,912.40 is: 306,059,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,039,912.40 : 306,059,868.64 = 204,039,912.40 : x
  2. Step 2: Convert to fraction form
    204,039,912.40/306,059,868.64 = 204,039,912.40/x
  3. Step 3: Cross multiply
    204,039,912.40x = 306,059,868.64 × 204,039,912.40
  4. Step 4: Simplify right side
    204,039,912.40x = 62,448,428,786,461,104
  5. Step 5: Solve for x
    x = 62,448,428,786,461,104/204,039,912.40
  6. Step 6: Final answer
    x = 306,059,868.64

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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.