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Finding the Fourth Proportional to 472,345,744.80, 708,306,040.80 and 181,116,076.80

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Solution

The fourth proportional to 472,345,744.80, 708,306,040.80 and 181,116,076.80 is: 271,592,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,345,744.80 : 708,306,040.80 = 181,116,076.80 : x
  2. Step 2: Convert to fraction form
    472,345,744.80/708,306,040.80 = 181,116,076.80/x
  3. Step 3: Cross multiply
    472,345,744.80x = 708,306,040.80 × 181,116,076.80
  4. Step 4: Simplify right side
    472,345,744.80x = 128,285,611,283,436,736
  5. Step 5: Solve for x
    x = 128,285,611,283,436,736/472,345,744.80
  6. Step 6: Final answer
    x = 271,592,604.98

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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.