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Finding the Fourth Proportional to 100,265,255,999.80, 150,397,883,999.70 and 100,265,255,999.80

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Solution

The fourth proportional to 100,265,255,999.80, 150,397,883,999.70 and 100,265,255,999.80 is: 150,397,883,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265,255,999.80 : 150,397,883,999.70 = 100,265,255,999.80 : x
  2. Step 2: Convert to fraction form
    100,265,255,999.80/150,397,883,999.70 = 100,265,255,999.80/x
  3. Step 3: Cross multiply
    100,265,255,999.80x = 150,397,883,999.70 × 100,265,255,999.80
  4. Step 4: Simplify right side
    100,265,255,999.80x = 15,079,682,341,058,146,992,128
  5. Step 5: Solve for x
    x = 15,079,682,341,058,146,992,128/100,265,255,999.80
  6. Step 6: Final answer
    x = 150,397,883,999.70

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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.