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Finding the Fourth Proportional to 9,935,998.40, 14,903,997.60 and 5,153,029.40

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Solution

The fourth proportional to 9,935,998.40, 14,903,997.60 and 5,153,029.40 is: 7,729,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935,998.40 : 14,903,997.60 = 5,153,029.40 : x
  2. Step 2: Convert to fraction form
    9,935,998.40/14,903,997.60 = 5,153,029.40/x
  3. Step 3: Cross multiply
    9,935,998.40x = 14,903,997.60 × 5,153,029.40
  4. Step 4: Simplify right side
    9,935,998.40x = 76,800,737,810,329.44
  5. Step 5: Solve for x
    x = 76,800,737,810,329.44/9,935,998.40
  6. Step 6: Final answer
    x = 7,729,544.10

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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.