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Finding the Fourth Proportional to 1,097,958,907,578.90, 1,646,938,361,368.40 and 1,097,958,907,578.90

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Solution

The fourth proportional to 1,097,958,907,578.90, 1,646,938,361,368.40 and 1,097,958,907,578.90 is: 1,646,938,361,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,958,907,578.90 : 1,646,938,361,368.40 = 1,097,958,907,578.90 : x
  2. Step 2: Convert to fraction form
    1,097,958,907,578.90/1,646,938,361,368.40 = 1,097,958,907,578.90/x
  3. Step 3: Cross multiply
    1,097,958,907,578.90x = 1,646,938,361,368.40 × 1,097,958,907,578.90
  4. Step 4: Simplify right side
    1,097,958,907,578.90x = 1,808,270,644,097,831,959,265,280
  5. Step 5: Solve for x
    x = 1,808,270,644,097,831,959,265,280/1,097,958,907,578.90
  6. Step 6: Final answer
    x = 1,646,938,361,368.40

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