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Finding the Fourth Proportional to 159,294,519,000.08, 238,941,778,500.15 and 159,294,519,000.08

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Solution

The fourth proportional to 159,294,519,000.08, 238,941,778,500.15 and 159,294,519,000.08 is: 238,941,778,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,294,519,000.08 : 238,941,778,500.15 = 159,294,519,000.08 : x
  2. Step 2: Convert to fraction form
    159,294,519,000.08/238,941,778,500.15 = 159,294,519,000.08/x
  3. Step 3: Cross multiply
    159,294,519,000.08x = 238,941,778,500.15 × 159,294,519,000.08
  4. Step 4: Simplify right side
    159,294,519,000.08x = 38,062,115,675,205,045,059,584
  5. Step 5: Solve for x
    x = 38,062,115,675,205,045,059,584/159,294,519,000.08
  6. Step 6: Final answer
    x = 238,941,778,500.15

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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.