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Finding the Fourth Proportional to 120,672,783,008.15, 181,009,174,512.22 and 120,672,783,008.15

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Solution

The fourth proportional to 120,672,783,008.15, 181,009,174,512.22 and 120,672,783,008.15 is: 181,009,174,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,672,783,008.15 : 181,009,174,512.22 = 120,672,783,008.15 : x
  2. Step 2: Convert to fraction form
    120,672,783,008.15/181,009,174,512.22 = 120,672,783,008.15/x
  3. Step 3: Cross multiply
    120,672,783,008.15x = 181,009,174,512.22 × 120,672,783,008.15
  4. Step 4: Simplify right side
    120,672,783,008.15x = 21,842,880,838,397,478,305,792
  5. Step 5: Solve for x
    x = 21,842,880,838,397,478,305,792/120,672,783,008.15
  6. Step 6: Final answer
    x = 181,009,174,512.22

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1.5x scale

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.