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Finding the Fourth Proportional to 446,148,010.80, 669,222,016.20 and 446,148,010.80

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Solution

The fourth proportional to 446,148,010.80, 669,222,016.20 and 446,148,010.80 is: 669,222,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,148,010.80 : 669,222,016.20 = 446,148,010.80 : x
  2. Step 2: Convert to fraction form
    446,148,010.80/669,222,016.20 = 446,148,010.80/x
  3. Step 3: Cross multiply
    446,148,010.80x = 669,222,016.20 × 446,148,010.80
  4. Step 4: Simplify right side
    446,148,010.80x = 298,572,071,311,195,392
  5. Step 5: Solve for x
    x = 298,572,071,311,195,392/446,148,010.80
  6. Step 6: Final answer
    x = 669,222,016.20

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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.