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Finding the Fourth Proportional to 360,676,265.05, 541,364,244.25 and 174,061,536.76

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Solution

The fourth proportional to 360,676,265.05, 541,364,244.25 and 174,061,536.76 is: 261,261,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,676,265.05 : 541,364,244.25 = 174,061,536.76 : x
  2. Step 2: Convert to fraction form
    360,676,265.05/541,364,244.25 = 174,061,536.76/x
  3. Step 3: Cross multiply
    360,676,265.05x = 541,364,244.25 × 174,061,536.76
  4. Step 4: Simplify right side
    360,676,265.05x = 94,230,692,301,070,992
  5. Step 5: Solve for x
    x = 94,230,692,301,070,992/360,676,265.05
  6. Step 6: Final answer
    x = 261,261,140.34

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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.