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Finding the Fourth Proportional to 229,598,495,999.80, 344,397,743,999.70 and 229,598,495,999.80

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Solution

The fourth proportional to 229,598,495,999.80, 344,397,743,999.70 and 229,598,495,999.80 is: 344,397,743,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,598,495,999.80 : 344,397,743,999.70 = 229,598,495,999.80 : x
  2. Step 2: Convert to fraction form
    229,598,495,999.80/344,397,743,999.70 = 229,598,495,999.80/x
  3. Step 3: Cross multiply
    229,598,495,999.80x = 344,397,743,999.70 × 229,598,495,999.80
  4. Step 4: Simplify right side
    229,598,495,999.80x = 79,073,204,048,055,263,821,824
  5. Step 5: Solve for x
    x = 79,073,204,048,055,263,821,824/229,598,495,999.80
  6. Step 6: Final answer
    x = 344,397,743,999.70

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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.