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Finding the Fourth Proportional to 111,427,488,016.20, 167,141,232,024.30 and 111,427,488,016.20

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Solution

The fourth proportional to 111,427,488,016.20, 167,141,232,024.30 and 111,427,488,016.20 is: 167,141,232,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,427,488,016.20 : 167,141,232,024.30 = 111,427,488,016.20 : x
  2. Step 2: Convert to fraction form
    111,427,488,016.20/167,141,232,024.30 = 111,427,488,016.20/x
  3. Step 3: Cross multiply
    111,427,488,016.20x = 167,141,232,024.30 × 111,427,488,016.20
  4. Step 4: Simplify right side
    111,427,488,016.20x = 18,624,127,628,400,589,275,136
  5. Step 5: Solve for x
    x = 18,624,127,628,400,589,275,136/111,427,488,016.20
  6. Step 6: Final answer
    x = 167,141,232,024.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.