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Finding the Fourth Proportional to 230,658,515,999.80, 345,987,773,999.70 and 230,658,515,999.80

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Solution

The fourth proportional to 230,658,515,999.80, 345,987,773,999.70 and 230,658,515,999.80 is: 345,987,773,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,658,515,999.80 : 345,987,773,999.70 = 230,658,515,999.80 : x
  2. Step 2: Convert to fraction form
    230,658,515,999.80/345,987,773,999.70 = 230,658,515,999.80/x
  3. Step 3: Cross multiply
    230,658,515,999.80x = 345,987,773,999.70 × 230,658,515,999.80
  4. Step 4: Simplify right side
    230,658,515,999.80x = 79,805,026,504,844,985,237,504
  5. Step 5: Solve for x
    x = 79,805,026,504,844,985,237,504/230,658,515,999.80
  6. Step 6: Final answer
    x = 345,987,773,999.70

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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.