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Finding the Fourth Proportional to 137,151,144,487.80, 205,726,716,731.70 and 137,151,144,487.80

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Solution

The fourth proportional to 137,151,144,487.80, 205,726,716,731.70 and 137,151,144,487.80 is: 205,726,716,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,151,144,487.80 : 205,726,716,731.70 = 137,151,144,487.80 : x
  2. Step 2: Convert to fraction form
    137,151,144,487.80/205,726,716,731.70 = 137,151,144,487.80/x
  3. Step 3: Cross multiply
    137,151,144,487.80x = 205,726,716,731.70 × 137,151,144,487.80
  4. Step 4: Simplify right side
    137,151,144,487.80x = 28,215,654,651,470,091,911,168
  5. Step 5: Solve for x
    x = 28,215,654,651,470,091,911,168/137,151,144,487.80
  6. Step 6: Final answer
    x = 205,726,716,731.70

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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.