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Finding the Fourth Proportional to 1,696,536,821,714.80, 2,544,805,232,572.20 and 1,696,536,821,714.80

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Solution

The fourth proportional to 1,696,536,821,714.80, 2,544,805,232,572.20 and 1,696,536,821,714.80 is: 2,544,805,232,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,536,821,714.80 : 2,544,805,232,572.20 = 1,696,536,821,714.80 : x
  2. Step 2: Convert to fraction form
    1,696,536,821,714.80/2,544,805,232,572.20 = 1,696,536,821,714.80/x
  3. Step 3: Cross multiply
    1,696,536,821,714.80x = 2,544,805,232,572.20 × 1,696,536,821,714.80
  4. Step 4: Simplify right side
    1,696,536,821,714.80x = 4,317,355,781,151,233,291,583,488
  5. Step 5: Solve for x
    x = 4,317,355,781,151,233,291,583,488/1,696,536,821,714.80
  6. Step 6: Final answer
    x = 2,544,805,232,572.20

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