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Finding the Fourth Proportional to 120,672,783,125.15, 181,009,174,687.73 and 120,672,783,125.15

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Solution

The fourth proportional to 120,672,783,125.15, 181,009,174,687.73 and 120,672,783,125.15 is: 181,009,174,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,672,783,125.15 : 181,009,174,687.73 = 120,672,783,125.15 : x
  2. Step 2: Convert to fraction form
    120,672,783,125.15/181,009,174,687.73 = 120,672,783,125.15/x
  3. Step 3: Cross multiply
    120,672,783,125.15x = 181,009,174,687.73 × 120,672,783,125.15
  4. Step 4: Simplify right side
    120,672,783,125.15x = 21,842,880,880,754,831,654,912
  5. Step 5: Solve for x
    x = 21,842,880,880,754,831,654,912/120,672,783,125.15
  6. Step 6: Final answer
    x = 181,009,174,687.73

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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.