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Finding the Fourth Proportional to 65,203,658.40, 97,817,297.40 and 32,773,947.60

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Solution

The fourth proportional to 65,203,658.40, 97,817,297.40 and 32,773,947.60 is: 49,166,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203,658.40 : 97,817,297.40 = 32,773,947.60 : x
  2. Step 2: Convert to fraction form
    65,203,658.40/97,817,297.40 = 32,773,947.60/x
  3. Step 3: Cross multiply
    65,203,658.40x = 97,817,297.40 × 32,773,947.60
  4. Step 4: Simplify right side
    65,203,658.40x = 3,205,858,979,361,216.50
  5. Step 5: Solve for x
    x = 3,205,858,979,361,216.50/65,203,658.40
  6. Step 6: Final answer
    x = 49,166,857.47

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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.