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Finding the Fourth Proportional to 564,898,536.90, 847,346,559.03 and 150,375,451.14

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Solution

The fourth proportional to 564,898,536.90, 847,346,559.03 and 150,375,451.14 is: 225,562,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,898,536.90 : 847,346,559.03 = 150,375,451.14 : x
  2. Step 2: Convert to fraction form
    564,898,536.90/847,346,559.03 = 150,375,451.14/x
  3. Step 3: Cross multiply
    564,898,536.90x = 847,346,559.03 × 150,375,451.14
  4. Step 4: Simplify right side
    564,898,536.90x = 127,420,121,086,062,880
  5. Step 5: Solve for x
    x = 127,420,121,086,062,880/564,898,536.90
  6. Step 6: Final answer
    x = 225,562,844.94

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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.