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Finding the Fourth Proportional to 65,211,238.80, 97,813,747.80 and 22,076,211.60

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Solution

The fourth proportional to 65,211,238.80, 97,813,747.80 and 22,076,211.60 is: 33,113,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,211,238.80 : 97,813,747.80 = 22,076,211.60 : x
  2. Step 2: Convert to fraction form
    65,211,238.80/97,813,747.80 = 22,076,211.60/x
  3. Step 3: Cross multiply
    65,211,238.80x = 97,813,747.80 × 22,076,211.60
  4. Step 4: Simplify right side
    65,211,238.80x = 2,159,356,993,821,834.50
  5. Step 5: Solve for x
    x = 2,159,356,993,821,834.50/65,211,238.80
  6. Step 6: Final answer
    x = 33,113,264.42

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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.