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Finding the Fourth Proportional to 76,685,103,003.90, 115,027,654,505.85 and 76,685,103,003.90

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Solution

The fourth proportional to 76,685,103,003.90, 115,027,654,505.85 and 76,685,103,003.90 is: 115,027,654,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,685,103,003.90 : 115,027,654,505.85 = 76,685,103,003.90 : x
  2. Step 2: Convert to fraction form
    76,685,103,003.90/115,027,654,505.85 = 76,685,103,003.90/x
  3. Step 3: Cross multiply
    76,685,103,003.90x = 115,027,654,505.85 × 76,685,103,003.90
  4. Step 4: Simplify right side
    76,685,103,003.90x = 8,820,907,534,078,128,947,200
  5. Step 5: Solve for x
    x = 8,820,907,534,078,128,947,200/76,685,103,003.90
  6. Step 6: Final answer
    x = 115,027,654,505.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.