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Finding the Fourth Proportional to 81,460,425,610.80, 122,190,638,416.20 and 81,460,425,610.80

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Solution

The fourth proportional to 81,460,425,610.80, 122,190,638,416.20 and 81,460,425,610.80 is: 122,190,638,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,460,425,610.80 : 122,190,638,416.20 = 81,460,425,610.80 : x
  2. Step 2: Convert to fraction form
    81,460,425,610.80/122,190,638,416.20 = 81,460,425,610.80/x
  3. Step 3: Cross multiply
    81,460,425,610.80x = 122,190,638,416.20 × 81,460,425,610.80
  4. Step 4: Simplify right side
    81,460,425,610.80x = 9,953,701,411,039,020,580,864
  5. Step 5: Solve for x
    x = 9,953,701,411,039,020,580,864/81,460,425,610.80
  6. Step 6: Final answer
    x = 122,190,638,416.20

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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.