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Finding the Fourth Proportional to 275,543,481.44, 413,315,222.04 and 113,985,417.44

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Solution

The fourth proportional to 275,543,481.44, 413,315,222.04 and 113,985,417.44 is: 170,978,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,543,481.44 : 413,315,222.04 = 113,985,417.44 : x
  2. Step 2: Convert to fraction form
    275,543,481.44/413,315,222.04 = 113,985,417.44/x
  3. Step 3: Cross multiply
    275,543,481.44x = 413,315,222.04 × 113,985,417.44
  4. Step 4: Simplify right side
    275,543,481.44x = 47,111,908,118,535,688
  5. Step 5: Solve for x
    x = 47,111,908,118,535,688/275,543,481.44
  6. Step 6: Final answer
    x = 170,978,126.11

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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.