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Finding the Fourth Proportional to 1,022,012,380.80, 1,533,018,571.20 and 1,022,012,380.80

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Solution

The fourth proportional to 1,022,012,380.80, 1,533,018,571.20 and 1,022,012,380.80 is: 1,533,018,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,012,380.80 : 1,533,018,571.20 = 1,022,012,380.80 : x
  2. Step 2: Convert to fraction form
    1,022,012,380.80/1,533,018,571.20 = 1,022,012,380.80/x
  3. Step 3: Cross multiply
    1,022,012,380.80x = 1,533,018,571.20 × 1,022,012,380.80
  4. Step 4: Simplify right side
    1,022,012,380.80x = 1,566,763,959,762,726,400
  5. Step 5: Solve for x
    x = 1,566,763,959,762,726,400/1,022,012,380.80
  6. Step 6: Final answer
    x = 1,533,018,571.20

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Half scale
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Double scale
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Similar ratio
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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.