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Finding the Fourth Proportional to 218,509,968.15, 327,764,952.23 and 218,509,968.15

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Solution

The fourth proportional to 218,509,968.15, 327,764,952.23 and 218,509,968.15 is: 327,764,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,509,968.15 : 327,764,952.23 = 218,509,968.15 : x
  2. Step 2: Convert to fraction form
    218,509,968.15/327,764,952.23 = 218,509,968.15/x
  3. Step 3: Cross multiply
    218,509,968.15x = 327,764,952.23 × 218,509,968.15
  4. Step 4: Simplify right side
    218,509,968.15x = 71,619,909,271,371,032
  5. Step 5: Solve for x
    x = 71,619,909,271,371,032/218,509,968.15
  6. Step 6: Final answer
    x = 327,764,952.23

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Why These Related Problems?

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