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Finding the Fourth Proportional to 159,885,786.30, 239,828,679.45 and 159,885,786.30

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Solution

The fourth proportional to 159,885,786.30, 239,828,679.45 and 159,885,786.30 is: 239,828,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,885,786.30 : 239,828,679.45 = 159,885,786.30 : x
  2. Step 2: Convert to fraction form
    159,885,786.30/239,828,679.45 = 159,885,786.30/x
  3. Step 3: Cross multiply
    159,885,786.30x = 239,828,679.45 × 159,885,786.30
  4. Step 4: Simplify right side
    159,885,786.30x = 38,345,196,991,153,904
  5. Step 5: Solve for x
    x = 38,345,196,991,153,904/159,885,786.30
  6. Step 6: Final answer
    x = 239,828,679.45

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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.