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Finding the Fourth Proportional to 204,133,051.90, 306,199,577.85 and 204,133,051.90

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Solution

The fourth proportional to 204,133,051.90, 306,199,577.85 and 204,133,051.90 is: 306,199,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,133,051.90 : 306,199,577.85 = 204,133,051.90 : x
  2. Step 2: Convert to fraction form
    204,133,051.90/306,199,577.85 = 204,133,051.90/x
  3. Step 3: Cross multiply
    204,133,051.90x = 306,199,577.85 × 204,133,051.90
  4. Step 4: Simplify right side
    204,133,051.90x = 62,505,454,317,012,144
  5. Step 5: Solve for x
    x = 62,505,454,317,012,144/204,133,051.90
  6. Step 6: Final answer
    x = 306,199,577.85

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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.