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Finding the Fourth Proportional to 4,651,101,149,342.40, 6,976,651,724,014.40 and 4,651,101,149,342.40

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Solution

The fourth proportional to 4,651,101,149,342.40, 6,976,651,724,014.40 and 4,651,101,149,342.40 is: 6,976,651,724,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,101,149,342.40 : 6,976,651,724,014.40 = 4,651,101,149,342.40 : x
  2. Step 2: Convert to fraction form
    4,651,101,149,342.40/6,976,651,724,014.40 = 4,651,101,149,342.40/x
  3. Step 3: Cross multiply
    4,651,101,149,342.40x = 6,976,651,724,014.40 × 4,651,101,149,342.40
  4. Step 4: Simplify right side
    4,651,101,149,342.40x = 32,449,112,852,125,016,985,174,016
  5. Step 5: Solve for x
    x = 32,449,112,852,125,016,985,174,016/4,651,101,149,342.40
  6. Step 6: Final answer
    x = 6,976,651,724,014.40

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