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Finding the Fourth Proportional to 401,272,771.50, 601,405,583.49 and 217,032,893.10

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Solution

The fourth proportional to 401,272,771.50, 601,405,583.49 and 217,032,893.10 is: 325,276,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,272,771.50 : 601,405,583.49 = 217,032,893.10 : x
  2. Step 2: Convert to fraction form
    401,272,771.50/601,405,583.49 = 217,032,893.10/x
  3. Step 3: Cross multiply
    401,272,771.50x = 601,405,583.49 × 217,032,893.10
  4. Step 4: Simplify right side
    401,272,771.50x = 130,524,793,711,328,288
  5. Step 5: Solve for x
    x = 130,524,793,711,328,288/401,272,771.50
  6. Step 6: Final answer
    x = 325,276,976.12

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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.