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Finding the Fourth Proportional to 200,167,340.40, 300,251,010.60 and 122,683,242.60

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Solution

The fourth proportional to 200,167,340.40, 300,251,010.60 and 122,683,242.60 is: 184,024,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,167,340.40 : 300,251,010.60 = 122,683,242.60 : x
  2. Step 2: Convert to fraction form
    200,167,340.40/300,251,010.60 = 122,683,242.60/x
  3. Step 3: Cross multiply
    200,167,340.40x = 300,251,010.60 × 122,683,242.60
  4. Step 4: Simplify right side
    200,167,340.40x = 36,835,767,574,334,976
  5. Step 5: Solve for x
    x = 36,835,767,574,334,976/200,167,340.40
  6. Step 6: Final answer
    x = 184,024,863.90

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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.