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Finding the Fourth Proportional to 1,584,489,223,410.40, 2,376,733,835,115.80 and 1,584,489,223,410.40

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Solution

The fourth proportional to 1,584,489,223,410.40, 2,376,733,835,115.80 and 1,584,489,223,410.40 is: 2,376,733,835,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,489,223,410.40 : 2,376,733,835,115.80 = 1,584,489,223,410.40 : x
  2. Step 2: Convert to fraction form
    1,584,489,223,410.40/2,376,733,835,115.80 = 1,584,489,223,410.40/x
  3. Step 3: Cross multiply
    1,584,489,223,410.40x = 2,376,733,835,115.80 × 1,584,489,223,410.40
  4. Step 4: Simplify right side
    1,584,489,223,410.40x = 3,765,909,148,655,855,331,180,544
  5. Step 5: Solve for x
    x = 3,765,909,148,655,855,331,180,544/1,584,489,223,410.40
  6. Step 6: Final answer
    x = 2,376,733,835,115.80

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