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Finding the Fourth Proportional to 137,908,939,512.30, 206,863,409,268.48 and 137,908,939,512.30

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Solution

The fourth proportional to 137,908,939,512.30, 206,863,409,268.48 and 137,908,939,512.30 is: 206,863,409,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,908,939,512.30 : 206,863,409,268.48 = 137,908,939,512.30 : x
  2. Step 2: Convert to fraction form
    137,908,939,512.30/206,863,409,268.48 = 137,908,939,512.30/x
  3. Step 3: Cross multiply
    137,908,939,512.30x = 206,863,409,268.48 × 137,908,939,512.30
  4. Step 4: Simplify right side
    137,908,939,512.30x = 28,528,313,396,114,965,397,504
  5. Step 5: Solve for x
    x = 28,528,313,396,114,965,397,504/137,908,939,512.30
  6. Step 6: Final answer
    x = 206,863,409,268.48

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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.