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Finding the Fourth Proportional to 404,098,200.04, 605,958,850.14 and 209,957,423.08

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Solution

The fourth proportional to 404,098,200.04, 605,958,850.14 and 209,957,423.08 is: 314,838,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,098,200.04 : 605,958,850.14 = 209,957,423.08 : x
  2. Step 2: Convert to fraction form
    404,098,200.04/605,958,850.14 = 209,957,423.08/x
  3. Step 3: Cross multiply
    404,098,200.04x = 605,958,850.14 × 209,957,423.08
  4. Step 4: Simplify right side
    404,098,200.04x = 127,225,558,667,914,304
  5. Step 5: Solve for x
    x = 127,225,558,667,914,304/404,098,200.04
  6. Step 6: Final answer
    x = 314,838,221.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.