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Finding the Fourth Proportional to 11,957,382,875.80, 17,936,074,313.70 and 11,957,382,875.80

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Solution

The fourth proportional to 11,957,382,875.80, 17,936,074,313.70 and 11,957,382,875.80 is: 17,936,074,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957,382,875.80 : 17,936,074,313.70 = 11,957,382,875.80 : x
  2. Step 2: Convert to fraction form
    11,957,382,875.80/17,936,074,313.70 = 11,957,382,875.80/x
  3. Step 3: Cross multiply
    11,957,382,875.80x = 17,936,074,313.70 × 11,957,382,875.80
  4. Step 4: Simplify right side
    11,957,382,875.80x = 214,468,507,857,712,611,328
  5. Step 5: Solve for x
    x = 214,468,507,857,712,611,328/11,957,382,875.80
  6. Step 6: Final answer
    x = 17,936,074,313.70

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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.