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Finding the Fourth Proportional to 414,011,812.80, 620,490,214.80 and 220,016,164.80

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Solution

The fourth proportional to 414,011,812.80, 620,490,214.80 and 220,016,164.80 is: 329,743,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,011,812.80 : 620,490,214.80 = 220,016,164.80 : x
  2. Step 2: Convert to fraction form
    414,011,812.80/620,490,214.80 = 220,016,164.80/x
  3. Step 3: Cross multiply
    414,011,812.80x = 620,490,214.80 × 220,016,164.80
  4. Step 4: Simplify right side
    414,011,812.80x = 136,517,877,356,224,192
  5. Step 5: Solve for x
    x = 136,517,877,356,224,192/414,011,812.80
  6. Step 6: Final answer
    x = 329,743,918.25

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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.