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Finding the Fourth Proportional to 542,974,714.80, 814,462,072.20 and 134,030,865.30

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Solution

The fourth proportional to 542,974,714.80, 814,462,072.20 and 134,030,865.30 is: 201,046,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,974,714.80 : 814,462,072.20 = 134,030,865.30 : x
  2. Step 2: Convert to fraction form
    542,974,714.80/814,462,072.20 = 134,030,865.30/x
  3. Step 3: Cross multiply
    542,974,714.80x = 814,462,072.20 × 134,030,865.30
  4. Step 4: Simplify right side
    542,974,714.80x = 109,163,056,290,997,072
  5. Step 5: Solve for x
    x = 109,163,056,290,997,072/542,974,714.80
  6. Step 6: Final answer
    x = 201,046,297.95

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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.