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Finding the Fourth Proportional to 137,151,144,523.37, 205,726,716,785.05 and 137,151,144,523.37

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Solution

The fourth proportional to 137,151,144,523.37, 205,726,716,785.05 and 137,151,144,523.37 is: 205,726,716,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,151,144,523.37 : 205,726,716,785.05 = 137,151,144,523.37 : x
  2. Step 2: Convert to fraction form
    137,151,144,523.37/205,726,716,785.05 = 137,151,144,523.37/x
  3. Step 3: Cross multiply
    137,151,144,523.37x = 205,726,716,785.05 × 137,151,144,523.37
  4. Step 4: Simplify right side
    137,151,144,523.37x = 28,215,654,666,104,798,707,712
  5. Step 5: Solve for x
    x = 28,215,654,666,104,798,707,712/137,151,144,523.37
  6. Step 6: Final answer
    x = 205,726,716,785.05

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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.