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Finding the Fourth Proportional to 491,000,887.50, 736,598,353.84 and 180,111,390.08

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Solution

The fourth proportional to 491,000,887.50, 736,598,353.84 and 180,111,390.08 is: 270,202,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,000,887.50 : 736,598,353.84 = 180,111,390.08 : x
  2. Step 2: Convert to fraction form
    491,000,887.50/736,598,353.84 = 180,111,390.08/x
  3. Step 3: Cross multiply
    491,000,887.50x = 736,598,353.84 × 180,111,390.08
  4. Step 4: Simplify right side
    491,000,887.50x = 132,669,753,440,762,128
  5. Step 5: Solve for x
    x = 132,669,753,440,762,128/491,000,887.50
  6. Step 6: Final answer
    x = 270,202,675.43

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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.