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Finding the Fourth Proportional to 12,827,485,148.80, 17,982,968,009.60 and 12,827,485,148.80

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Solution

The fourth proportional to 12,827,485,148.80, 17,982,968,009.60 and 12,827,485,148.80 is: 17,982,968,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827,485,148.80 : 17,982,968,009.60 = 12,827,485,148.80 : x
  2. Step 2: Convert to fraction form
    12,827,485,148.80/17,982,968,009.60 = 12,827,485,148.80/x
  3. Step 3: Cross multiply
    12,827,485,148.80x = 17,982,968,009.60 × 12,827,485,148.80
  4. Step 4: Simplify right side
    12,827,485,148.80x = 230,676,255,074,489,466,880
  5. Step 5: Solve for x
    x = 230,676,255,074,489,466,880/12,827,485,148.80
  6. Step 6: Final answer
    x = 17,982,968,009.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.