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Finding the Fourth Proportional to 310,537,092.60, 465,410,010.60 and 165,040,356.60

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Solution

The fourth proportional to 310,537,092.60, 465,410,010.60 and 165,040,356.60 is: 247,350,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,537,092.60 : 465,410,010.60 = 165,040,356.60 : x
  2. Step 2: Convert to fraction form
    310,537,092.60/465,410,010.60 = 165,040,356.60/x
  3. Step 3: Cross multiply
    310,537,092.60x = 465,410,010.60 × 165,040,356.60
  4. Step 4: Simplify right side
    310,537,092.60x = 76,811,434,114,633,776
  5. Step 5: Solve for x
    x = 76,811,434,114,633,776/310,537,092.60
  6. Step 6: Final answer
    x = 247,350,271.34

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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.