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Finding the Fourth Proportional to 81,460,343,962.80, 122,190,515,944.20 and 81,460,343,962.80

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Solution

The fourth proportional to 81,460,343,962.80, 122,190,515,944.20 and 81,460,343,962.80 is: 122,190,515,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,460,343,962.80 : 122,190,515,944.20 = 81,460,343,962.80 : x
  2. Step 2: Convert to fraction form
    81,460,343,962.80/122,190,515,944.20 = 81,460,343,962.80/x
  3. Step 3: Cross multiply
    81,460,343,962.80x = 122,190,515,944.20 × 81,460,343,962.80
  4. Step 4: Simplify right side
    81,460,343,962.80x = 9,953,681,457,806,529,527,808
  5. Step 5: Solve for x
    x = 9,953,681,457,806,529,527,808/81,460,343,962.80
  6. Step 6: Final answer
    x = 122,190,515,944.20

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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.