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Finding the Fourth Proportional to 159,294,519,006.35, 238,941,778,509.52 and 159,294,519,006.35

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Solution

The fourth proportional to 159,294,519,006.35, 238,941,778,509.52 and 159,294,519,006.35 is: 238,941,778,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,294,519,006.35 : 238,941,778,509.52 = 159,294,519,006.35 : x
  2. Step 2: Convert to fraction form
    159,294,519,006.35/238,941,778,509.52 = 159,294,519,006.35/x
  3. Step 3: Cross multiply
    159,294,519,006.35x = 238,941,778,509.52 × 159,294,519,006.35
  4. Step 4: Simplify right side
    159,294,519,006.35x = 38,062,115,678,195,801,915,392
  5. Step 5: Solve for x
    x = 38,062,115,678,195,801,915,392/159,294,519,006.35
  6. Step 6: Final answer
    x = 238,941,778,509.52

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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.