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Finding the Fourth Proportional to 204,073,705,992.30, 305,559,560,959.65 and 204,073,705,992.30

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Solution

The fourth proportional to 204,073,705,992.30, 305,559,560,959.65 and 204,073,705,992.30 is: 305,559,560,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,073,705,992.30 : 305,559,560,959.65 = 204,073,705,992.30 : x
  2. Step 2: Convert to fraction form
    204,073,705,992.30/305,559,560,959.65 = 204,073,705,992.30/x
  3. Step 3: Cross multiply
    204,073,705,992.30x = 305,559,560,959.65 × 204,073,705,992.30
  4. Step 4: Simplify right side
    204,073,705,992.30x = 62,356,672,006,415,886,319,616
  5. Step 5: Solve for x
    x = 62,356,672,006,415,886,319,616/204,073,705,992.30
  6. Step 6: Final answer
    x = 305,559,560,959.65

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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.