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Finding the Fourth Proportional to 27,188,219,897.15, 40,782,329,845.73 and 27,188,219,897.15

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Solution

The fourth proportional to 27,188,219,897.15, 40,782,329,845.73 and 27,188,219,897.15 is: 40,782,329,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188,219,897.15 : 40,782,329,845.73 = 27,188,219,897.15 : x
  2. Step 2: Convert to fraction form
    27,188,219,897.15/40,782,329,845.73 = 27,188,219,897.15/x
  3. Step 3: Cross multiply
    27,188,219,897.15x = 40,782,329,845.73 × 27,188,219,897.15
  4. Step 4: Simplify right side
    27,188,219,897.15x = 1,108,798,951,763,674,791,936
  5. Step 5: Solve for x
    x = 1,108,798,951,763,674,791,936/27,188,219,897.15
  6. Step 6: Final answer
    x = 40,782,329,845.73

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1.5x scale

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.