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Finding the Fourth Proportional to 200,644,253.44, 300,867,914.80 and 82,447,602.01

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Solution

The fourth proportional to 200,644,253.44, 300,867,914.80 and 82,447,602.01 is: 123,630,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,644,253.44 : 300,867,914.80 = 82,447,602.01 : x
  2. Step 2: Convert to fraction form
    200,644,253.44/300,867,914.80 = 82,447,602.01/x
  3. Step 3: Cross multiply
    200,644,253.44x = 300,867,914.80 × 82,447,602.01
  4. Step 4: Simplify right side
    200,644,253.44x = 24,805,838,097,632,188
  5. Step 5: Solve for x
    x = 24,805,838,097,632,188/200,644,253.44
  6. Step 6: Final answer
    x = 123,630,942.19

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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.