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Finding the Fourth Proportional to 99,952,996.80, 149,761,533.60 and 48,724,708.80

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Solution

The fourth proportional to 99,952,996.80, 149,761,533.60 and 48,724,708.80 is: 73,005,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,952,996.80 : 149,761,533.60 = 48,724,708.80 : x
  2. Step 2: Convert to fraction form
    99,952,996.80/149,761,533.60 = 48,724,708.80/x
  3. Step 3: Cross multiply
    99,952,996.80x = 149,761,533.60 × 48,724,708.80
  4. Step 4: Simplify right side
    99,952,996.80x = 7,297,087,114,101,415
  5. Step 5: Solve for x
    x = 7,297,087,114,101,415/99,952,996.80
  6. Step 6: Final answer
    x = 73,005,185.91

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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.