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Finding the Fourth Proportional to 780,024,978,068.20, 1,170,037,467,102.30 and 780,024,978,068.20

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Solution

The fourth proportional to 780,024,978,068.20, 1,170,037,467,102.30 and 780,024,978,068.20 is: 1,170,037,467,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,024,978,068.20 : 1,170,037,467,102.30 = 780,024,978,068.20 : x
  2. Step 2: Convert to fraction form
    780,024,978,068.20/1,170,037,467,102.30 = 780,024,978,068.20/x
  3. Step 3: Cross multiply
    780,024,978,068.20x = 1,170,037,467,102.30 × 780,024,978,068.20
  4. Step 4: Simplify right side
    780,024,978,068.20x = 912,658,449,615,443,829,194,752
  5. Step 5: Solve for x
    x = 912,658,449,615,443,829,194,752/780,024,978,068.20
  6. Step 6: Final answer
    x = 1,170,037,467,102.30

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