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Finding the Fourth Proportional to 673,840,906.30, 1,009,965,097.05 and 285,662,986.30

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Solution

The fourth proportional to 673,840,906.30, 1,009,965,097.05 and 285,662,986.30 is: 428,156,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,840,906.30 : 1,009,965,097.05 = 285,662,986.30 : x
  2. Step 2: Convert to fraction form
    673,840,906.30/1,009,965,097.05 = 285,662,986.30/x
  3. Step 3: Cross multiply
    673,840,906.30x = 1,009,965,097.05 × 285,662,986.30
  4. Step 4: Simplify right side
    673,840,906.30x = 288,509,645,682,072,320
  5. Step 5: Solve for x
    x = 288,509,645,682,072,320/673,840,906.30
  6. Step 6: Final answer
    x = 428,156,918.03

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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.