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Finding the Fourth Proportional to 122,180,783.78, 183,271,175.66 and 122,180,783.78

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Solution

The fourth proportional to 122,180,783.78, 183,271,175.66 and 122,180,783.78 is: 183,271,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,180,783.78 : 183,271,175.66 = 122,180,783.78 : x
  2. Step 2: Convert to fraction form
    122,180,783.78/183,271,175.66 = 122,180,783.78/x
  3. Step 3: Cross multiply
    122,180,783.78x = 183,271,175.66 × 122,180,783.78
  4. Step 4: Simplify right side
    122,180,783.78x = 22,392,215,885,809,956
  5. Step 5: Solve for x
    x = 22,392,215,885,809,956/122,180,783.78
  6. Step 6: Final answer
    x = 183,271,175.66

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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.