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Finding the Fourth Proportional to 32,809,634.30, 49,214,451.45 and 32,809,634.30

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Solution

The fourth proportional to 32,809,634.30, 49,214,451.45 and 32,809,634.30 is: 49,214,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809,634.30 : 49,214,451.45 = 32,809,634.30 : x
  2. Step 2: Convert to fraction form
    32,809,634.30/49,214,451.45 = 32,809,634.30/x
  3. Step 3: Cross multiply
    32,809,634.30x = 49,214,451.45 × 32,809,634.30
  4. Step 4: Simplify right side
    32,809,634.30x = 1,614,708,154,349,604.75
  5. Step 5: Solve for x
    x = 1,614,708,154,349,604.75/32,809,634.30
  6. Step 6: Final answer
    x = 49,214,451.45

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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.