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Finding the Fourth Proportional to 9,807,149.60, 14,682,730.80 and 9,807,149.60

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Solution

The fourth proportional to 9,807,149.60, 14,682,730.80 and 9,807,149.60 is: 14,682,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807,149.60 : 14,682,730.80 = 9,807,149.60 : x
  2. Step 2: Convert to fraction form
    9,807,149.60/14,682,730.80 = 9,807,149.60/x
  3. Step 3: Cross multiply
    9,807,149.60x = 14,682,730.80 × 9,807,149.60
  4. Step 4: Simplify right side
    9,807,149.60x = 143,995,737,492,127.69
  5. Step 5: Solve for x
    x = 143,995,737,492,127.69/9,807,149.60
  6. Step 6: Final answer
    x = 14,682,730.80

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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.