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Finding the Fourth Proportional to 1,564,568,784,003.80, 2,346,853,176,005.80 and 1,564,568,784,003.80

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Solution

The fourth proportional to 1,564,568,784,003.80, 2,346,853,176,005.80 and 1,564,568,784,003.80 is: 2,346,853,176,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,568,784,003.80 : 2,346,853,176,005.80 = 1,564,568,784,003.80 : x
  2. Step 2: Convert to fraction form
    1,564,568,784,003.80/2,346,853,176,005.80 = 1,564,568,784,003.80/x
  3. Step 3: Cross multiply
    1,564,568,784,003.80x = 2,346,853,176,005.80 × 1,564,568,784,003.80
  4. Step 4: Simplify right side
    1,564,568,784,003.80x = 3,671,813,219,818,850,165,456,896
  5. Step 5: Solve for x
    x = 3,671,813,219,818,850,165,456,896/1,564,568,784,003.80
  6. Step 6: Final answer
    x = 2,346,853,176,005.80

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