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Finding the Fourth Proportional to 177,184,816.20, 265,777,224.30 and 177,184,816.20

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Solution

The fourth proportional to 177,184,816.20, 265,777,224.30 and 177,184,816.20 is: 265,777,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,184,816.20 : 265,777,224.30 = 177,184,816.20 : x
  2. Step 2: Convert to fraction form
    177,184,816.20/265,777,224.30 = 177,184,816.20/x
  3. Step 3: Cross multiply
    177,184,816.20x = 265,777,224.30 × 177,184,816.20
  4. Step 4: Simplify right side
    177,184,816.20x = 47,091,688,637,741,672
  5. Step 5: Solve for x
    x = 47,091,688,637,741,672/177,184,816.20
  6. Step 6: Final answer
    x = 265,777,224.30

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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.