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Finding the Fourth Proportional to 130,380,198,369.80, 195,570,297,554.70 and 130,380,198,369.80

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Solution

The fourth proportional to 130,380,198,369.80, 195,570,297,554.70 and 130,380,198,369.80 is: 195,570,297,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,380,198,369.80 : 195,570,297,554.70 = 130,380,198,369.80 : x
  2. Step 2: Convert to fraction form
    130,380,198,369.80/195,570,297,554.70 = 130,380,198,369.80/x
  3. Step 3: Cross multiply
    130,380,198,369.80x = 195,570,297,554.70 × 130,380,198,369.80
  4. Step 4: Simplify right side
    130,380,198,369.80x = 25,498,494,190,422,602,022,912
  5. Step 5: Solve for x
    x = 25,498,494,190,422,602,022,912/130,380,198,369.80
  6. Step 6: Final answer
    x = 195,570,297,554.70

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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.