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Finding the Fourth Proportional to 66,907,934, 100,361,906.40 and 23,778,839.60

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Solution

The fourth proportional to 66,907,934, 100,361,906.40 and 23,778,839.60 is: 35,668,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,907,934 : 100,361,906.40 = 23,778,839.60 : x
  2. Step 2: Convert to fraction form
    66,907,934/100,361,906.40 = 23,778,839.60/x
  3. Step 3: Cross multiply
    66,907,934x = 100,361,906.40 × 23,778,839.60
  4. Step 4: Simplify right side
    66,907,934x = 2,386,489,674,235,813.50
  5. Step 5: Solve for x
    x = 2,386,489,674,235,813.50/66,907,934
  6. Step 6: Final answer
    x = 35,668,261.32

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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.