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Finding the Fourth Proportional to 204,073,706,100.30, 305,559,561,121.65 and 204,073,706,100.30

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Solution

The fourth proportional to 204,073,706,100.30, 305,559,561,121.65 and 204,073,706,100.30 is: 305,559,561,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,073,706,100.30 : 305,559,561,121.65 = 204,073,706,100.30 : x
  2. Step 2: Convert to fraction form
    204,073,706,100.30/305,559,561,121.65 = 204,073,706,100.30/x
  3. Step 3: Cross multiply
    204,073,706,100.30x = 305,559,561,121.65 × 204,073,706,100.30
  4. Step 4: Simplify right side
    204,073,706,100.30x = 62,356,672,072,476,258,205,696
  5. Step 5: Solve for x
    x = 62,356,672,072,476,258,205,696/204,073,706,100.30
  6. Step 6: Final answer
    x = 305,559,561,121.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.