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Finding the Fourth Proportional to 204,358,215.15, 306,537,322.73 and 204,358,215.15

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Solution

The fourth proportional to 204,358,215.15, 306,537,322.73 and 204,358,215.15 is: 306,537,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,358,215.15 : 306,537,322.73 = 204,358,215.15 : x
  2. Step 2: Convert to fraction form
    204,358,215.15/306,537,322.73 = 204,358,215.15/x
  3. Step 3: Cross multiply
    204,358,215.15x = 306,537,322.73 × 204,358,215.15
  4. Step 4: Simplify right side
    204,358,215.15x = 62,643,420,148,940,544
  5. Step 5: Solve for x
    x = 62,643,420,148,940,544/204,358,215.15
  6. Step 6: Final answer
    x = 306,537,322.73

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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.