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Finding the Fourth Proportional to 306,477,851.80, 422,948,418.90 and 167,257,564.84

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Solution

The fourth proportional to 306,477,851.80, 422,948,418.90 and 167,257,564.84 is: 230,820,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,477,851.80 : 422,948,418.90 = 167,257,564.84 : x
  2. Step 2: Convert to fraction form
    306,477,851.80/422,948,418.90 = 167,257,564.84/x
  3. Step 3: Cross multiply
    306,477,851.80x = 422,948,418.90 × 167,257,564.84
  4. Step 4: Simplify right side
    306,477,851.80x = 70,741,322,598,142,232
  5. Step 5: Solve for x
    x = 70,741,322,598,142,232/306,477,851.80
  6. Step 6: Final answer
    x = 230,820,342.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.