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Finding the Fourth Proportional to 529,696,476,198.30, 794,544,714,297.44 and 529,696,476,198.30

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Solution

The fourth proportional to 529,696,476,198.30, 794,544,714,297.44 and 529,696,476,198.30 is: 794,544,714,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,696,476,198.30 : 794,544,714,297.44 = 529,696,476,198.30 : x
  2. Step 2: Convert to fraction form
    529,696,476,198.30/794,544,714,297.44 = 529,696,476,198.30/x
  3. Step 3: Cross multiply
    529,696,476,198.30x = 794,544,714,297.44 × 529,696,476,198.30
  4. Step 4: Simplify right side
    529,696,476,198.30x = 420,867,535,345,338,976,043,008
  5. Step 5: Solve for x
    x = 420,867,535,345,338,976,043,008/529,696,476,198.30
  6. Step 6: Final answer
    x = 794,544,714,297.44

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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.