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Finding the Fourth Proportional to 446,046,796.80, 668,840,457.60 and 200,192,668.80

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Solution

The fourth proportional to 446,046,796.80, 668,840,457.60 and 200,192,668.80 is: 300,185,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,046,796.80 : 668,840,457.60 = 200,192,668.80 : x
  2. Step 2: Convert to fraction form
    446,046,796.80/668,840,457.60 = 200,192,668.80/x
  3. Step 3: Cross multiply
    446,046,796.80x = 668,840,457.60 × 200,192,668.80
  4. Step 4: Simplify right side
    446,046,796.80x = 133,896,956,208,357,248
  5. Step 5: Solve for x
    x = 133,896,956,208,357,248/446,046,796.80
  6. Step 6: Final answer
    x = 300,185,893.43

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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.