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Finding the Fourth Proportional to 204,133,054.65, 306,199,581.98 and 204,133,054.65

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Solution

The fourth proportional to 204,133,054.65, 306,199,581.98 and 204,133,054.65 is: 306,199,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,133,054.65 : 306,199,581.98 = 204,133,054.65 : x
  2. Step 2: Convert to fraction form
    204,133,054.65/306,199,581.98 = 204,133,054.65/x
  3. Step 3: Cross multiply
    204,133,054.65x = 306,199,581.98 × 204,133,054.65
  4. Step 4: Simplify right side
    204,133,054.65x = 62,505,456,001,109,840
  5. Step 5: Solve for x
    x = 62,505,456,001,109,840/204,133,054.65
  6. Step 6: Final answer
    x = 306,199,581.98

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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.