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Finding the Fourth Proportional to 11,664,000.40, 16,291,809.20 and 11,664,000.40

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Solution

The fourth proportional to 11,664,000.40, 16,291,809.20 and 11,664,000.40 is: 16,291,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664,000.40 : 16,291,809.20 = 11,664,000.40 : x
  2. Step 2: Convert to fraction form
    11,664,000.40/16,291,809.20 = 11,664,000.40/x
  3. Step 3: Cross multiply
    11,664,000.40x = 16,291,809.20 × 11,664,000.40
  4. Step 4: Simplify right side
    11,664,000.40x = 190,027,669,025,523.69
  5. Step 5: Solve for x
    x = 190,027,669,025,523.69/11,664,000.40
  6. Step 6: Final answer
    x = 16,291,809.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.