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Finding the Fourth Proportional to 5,183,999.48, 7,775,999.21 and 5,183,999.48

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Solution

The fourth proportional to 5,183,999.48, 7,775,999.21 and 5,183,999.48 is: 7,775,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183,999.48 : 7,775,999.21 = 5,183,999.48 : x
  2. Step 2: Convert to fraction form
    5,183,999.48/7,775,999.21 = 5,183,999.48/x
  3. Step 3: Cross multiply
    5,183,999.48x = 7,775,999.21 × 5,183,999.48
  4. Step 4: Simplify right side
    5,183,999.48x = 40,310,775,835,200.41
  5. Step 5: Solve for x
    x = 40,310,775,835,200.41/5,183,999.48
  6. Step 6: Final answer
    x = 7,775,999.21

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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.