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Finding the Fourth Proportional to 137,640,336,430.09, 206,460,504,645.13 and 137,640,336,430.09

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Solution

The fourth proportional to 137,640,336,430.09, 206,460,504,645.13 and 137,640,336,430.09 is: 206,460,504,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640,336,430.09 : 206,460,504,645.13 = 137,640,336,430.09 : x
  2. Step 2: Convert to fraction form
    137,640,336,430.09/206,460,504,645.13 = 137,640,336,430.09/x
  3. Step 3: Cross multiply
    137,640,336,430.09x = 206,460,504,645.13 × 137,640,336,430.09
  4. Step 4: Simplify right side
    137,640,336,430.09x = 28,417,293,318,881,850,425,344
  5. Step 5: Solve for x
    x = 28,417,293,318,881,850,425,344/137,640,336,430.09
  6. Step 6: Final answer
    x = 206,460,504,645.13

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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.