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Finding the Fourth Proportional to 159,294,519,000.23, 238,941,778,500.34 and 159,294,519,000.23

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Solution

The fourth proportional to 159,294,519,000.23, 238,941,778,500.34 and 159,294,519,000.23 is: 238,941,778,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,294,519,000.23 : 238,941,778,500.34 = 159,294,519,000.23 : x
  2. Step 2: Convert to fraction form
    159,294,519,000.23/238,941,778,500.34 = 159,294,519,000.23/x
  3. Step 3: Cross multiply
    159,294,519,000.23x = 238,941,778,500.34 × 159,294,519,000.23
  4. Step 4: Simplify right side
    159,294,519,000.23x = 38,062,115,675,271,164,067,840
  5. Step 5: Solve for x
    x = 38,062,115,675,271,164,067,840/159,294,519,000.23
  6. Step 6: Final answer
    x = 238,941,778,500.34

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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.