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Finding the Fourth Proportional to 103,429,129,995.76, 155,143,694,993.64 and 103,429,129,995.76

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Solution

The fourth proportional to 103,429,129,995.76, 155,143,694,993.64 and 103,429,129,995.76 is: 155,143,694,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,429,129,995.76 : 155,143,694,993.64 = 103,429,129,995.76 : x
  2. Step 2: Convert to fraction form
    103,429,129,995.76/155,143,694,993.64 = 103,429,129,995.76/x
  3. Step 3: Cross multiply
    103,429,129,995.76x = 155,143,694,993.64 × 103,429,129,995.76
  4. Step 4: Simplify right side
    103,429,129,995.76x = 16,046,377,397,519,732,703,232
  5. Step 5: Solve for x
    x = 16,046,377,397,519,732,703,232/103,429,129,995.76
  6. Step 6: Final answer
    x = 155,143,694,993.64

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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.