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Finding the Fourth Proportional to 33,015,506.40, 49,523,259.60 and 33,015,506.40

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Solution

The fourth proportional to 33,015,506.40, 49,523,259.60 and 33,015,506.40 is: 49,523,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,015,506.40 : 49,523,259.60 = 33,015,506.40 : x
  2. Step 2: Convert to fraction form
    33,015,506.40/49,523,259.60 = 33,015,506.40/x
  3. Step 3: Cross multiply
    33,015,506.40x = 49,523,259.60 × 33,015,506.40
  4. Step 4: Simplify right side
    33,015,506.40x = 1,635,035,494,272,661.50
  5. Step 5: Solve for x
    x = 1,635,035,494,272,661.50/33,015,506.40
  6. Step 6: Final answer
    x = 49,523,259.60

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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.