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Finding the Fourth Proportional to 413,968,417.60, 620,954,469.60 and 107,238,740.80

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Solution

The fourth proportional to 413,968,417.60, 620,954,469.60 and 107,238,740.80 is: 160,858,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,968,417.60 : 620,954,469.60 = 107,238,740.80 : x
  2. Step 2: Convert to fraction form
    413,968,417.60/620,954,469.60 = 107,238,740.80/x
  3. Step 3: Cross multiply
    413,968,417.60x = 620,954,469.60 × 107,238,740.80
  4. Step 4: Simplify right side
    413,968,417.60x = 66,590,375,414,035,880
  5. Step 5: Solve for x
    x = 66,590,375,414,035,880/413,968,417.60
  6. Step 6: Final answer
    x = 160,858,588.68

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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.