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Finding the Fourth Proportional to 137,640,289,399.09, 206,460,434,098.63 and 137,640,289,399.09

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Solution

The fourth proportional to 137,640,289,399.09, 206,460,434,098.63 and 137,640,289,399.09 is: 206,460,434,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640,289,399.09 : 206,460,434,098.63 = 137,640,289,399.09 : x
  2. Step 2: Convert to fraction form
    137,640,289,399.09/206,460,434,098.63 = 137,640,289,399.09/x
  3. Step 3: Cross multiply
    137,640,289,399.09x = 206,460,434,098.63 × 137,640,289,399.09
  4. Step 4: Simplify right side
    137,640,289,399.09x = 28,417,273,898,797,180,649,472
  5. Step 5: Solve for x
    x = 28,417,273,898,797,180,649,472/137,640,289,399.09
  6. Step 6: Final answer
    x = 206,460,434,098.63

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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.