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Finding the Fourth Proportional to 299,184,061.20, 420,067,009.20 and 299,184,061.20

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Solution

The fourth proportional to 299,184,061.20, 420,067,009.20 and 299,184,061.20 is: 420,067,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,184,061.20 : 420,067,009.20 = 299,184,061.20 : x
  2. Step 2: Convert to fraction form
    299,184,061.20/420,067,009.20 = 299,184,061.20/x
  3. Step 3: Cross multiply
    299,184,061.20x = 420,067,009.20 × 299,184,061.20
  4. Step 4: Simplify right side
    299,184,061.20x = 125,677,353,788,593,760
  5. Step 5: Solve for x
    x = 125,677,353,788,593,760/299,184,061.20
  6. Step 6: Final answer
    x = 420,067,009.20

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Why These Related Problems?

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