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Finding the Fourth Proportional to 150,305,240,136.80, 225,457,860,205.20 and 150,305,240,136.80

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Solution

The fourth proportional to 150,305,240,136.80, 225,457,860,205.20 and 150,305,240,136.80 is: 225,457,860,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,305,240,136.80 : 225,457,860,205.20 = 150,305,240,136.80 : x
  2. Step 2: Convert to fraction form
    150,305,240,136.80/225,457,860,205.20 = 150,305,240,136.80/x
  3. Step 3: Cross multiply
    150,305,240,136.80x = 225,457,860,205.20 × 150,305,240,136.80
  4. Step 4: Simplify right side
    150,305,240,136.80x = 33,887,497,818,871,670,243,328
  5. Step 5: Solve for x
    x = 33,887,497,818,871,670,243,328/150,305,240,136.80
  6. Step 6: Final answer
    x = 225,457,860,205.20

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1.5x scale

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.