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Finding the Fourth Proportional to 81,146,457,234.60, 113,372,850,012.60 and 81,146,457,234.60

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Solution

The fourth proportional to 81,146,457,234.60, 113,372,850,012.60 and 81,146,457,234.60 is: 113,372,850,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,146,457,234.60 : 113,372,850,012.60 = 81,146,457,234.60 : x
  2. Step 2: Convert to fraction form
    81,146,457,234.60/113,372,850,012.60 = 81,146,457,234.60/x
  3. Step 3: Cross multiply
    81,146,457,234.60x = 113,372,850,012.60 × 81,146,457,234.60
  4. Step 4: Simplify right side
    81,146,457,234.60x = 9,199,805,125,112,166,875,136
  5. Step 5: Solve for x
    x = 9,199,805,125,112,166,875,136/81,146,457,234.60
  6. Step 6: Final answer
    x = 113,372,850,012.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.