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Finding the Fourth Proportional to 149,170,175,999.90, 223,755,263,999.85 and 149,170,175,999.90

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Solution

The fourth proportional to 149,170,175,999.90, 223,755,263,999.85 and 149,170,175,999.90 is: 223,755,263,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,170,175,999.90 : 223,755,263,999.85 = 149,170,175,999.90 : x
  2. Step 2: Convert to fraction form
    149,170,175,999.90/223,755,263,999.85 = 149,170,175,999.90/x
  3. Step 3: Cross multiply
    149,170,175,999.90x = 223,755,263,999.85 × 149,170,175,999.90
  4. Step 4: Simplify right side
    149,170,175,999.90x = 33,377,612,111,761,710,776,320
  5. Step 5: Solve for x
    x = 33,377,612,111,761,710,776,320/149,170,175,999.90
  6. Step 6: Final answer
    x = 223,755,263,999.85

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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.