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Finding the Fourth Proportional to 446,238,232.20, 669,357,348.30 and 446,238,232.20

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Solution

The fourth proportional to 446,238,232.20, 669,357,348.30 and 446,238,232.20 is: 669,357,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,238,232.20 : 669,357,348.30 = 446,238,232.20 : x
  2. Step 2: Convert to fraction form
    446,238,232.20/669,357,348.30 = 446,238,232.20/x
  3. Step 3: Cross multiply
    446,238,232.20x = 669,357,348.30 × 446,238,232.20
  4. Step 4: Simplify right side
    446,238,232.20x = 298,692,839,815,471,616
  5. Step 5: Solve for x
    x = 298,692,839,815,471,616/446,238,232.20
  6. Step 6: Final answer
    x = 669,357,348.30

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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.