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Finding the Fourth Proportional to 9,733,487.20, 14,600,230.80 and 9,733,487.20

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Solution

The fourth proportional to 9,733,487.20, 14,600,230.80 and 9,733,487.20 is: 14,600,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733,487.20 : 14,600,230.80 = 9,733,487.20 : x
  2. Step 2: Convert to fraction form
    9,733,487.20/14,600,230.80 = 9,733,487.20/x
  3. Step 3: Cross multiply
    9,733,487.20x = 14,600,230.80 × 9,733,487.20
  4. Step 4: Simplify right side
    9,733,487.20x = 142,111,159,608,845.75
  5. Step 5: Solve for x
    x = 142,111,159,608,845.75/9,733,487.20
  6. Step 6: Final answer
    x = 14,600,230.80

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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.