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Finding the Fourth Proportional to 234,621,972.80, 329,151,006.40 and 234,621,972.80

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Solution

The fourth proportional to 234,621,972.80, 329,151,006.40 and 234,621,972.80 is: 329,151,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,621,972.80 : 329,151,006.40 = 234,621,972.80 : x
  2. Step 2: Convert to fraction form
    234,621,972.80/329,151,006.40 = 234,621,972.80/x
  3. Step 3: Cross multiply
    234,621,972.80x = 329,151,006.40 × 234,621,972.80
  4. Step 4: Simplify right side
    234,621,972.80x = 77,226,058,470,673,424
  5. Step 5: Solve for x
    x = 77,226,058,470,673,424/234,621,972.80
  6. Step 6: Final answer
    x = 329,151,006.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.