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Finding the Fourth Proportional to 137,640,292,227.02, 206,460,438,340.53 and 137,640,292,227.02

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Solution

The fourth proportional to 137,640,292,227.02, 206,460,438,340.53 and 137,640,292,227.02 is: 206,460,438,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640,292,227.02 : 206,460,438,340.53 = 137,640,292,227.02 : x
  2. Step 2: Convert to fraction form
    137,640,292,227.02/206,460,438,340.53 = 137,640,292,227.02/x
  3. Step 3: Cross multiply
    137,640,292,227.02x = 206,460,438,340.53 × 137,640,292,227.02
  4. Step 4: Simplify right side
    137,640,292,227.02x = 28,417,275,066,509,189,709,824
  5. Step 5: Solve for x
    x = 28,417,275,066,509,189,709,824/137,640,292,227.02
  6. Step 6: Final answer
    x = 206,460,438,340.53

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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.