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Finding the Fourth Proportional to 299,010,165.30, 417,593,864.70 and 299,010,165.30

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Solution

The fourth proportional to 299,010,165.30, 417,593,864.70 and 299,010,165.30 is: 417,593,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,010,165.30 : 417,593,864.70 = 299,010,165.30 : x
  2. Step 2: Convert to fraction form
    299,010,165.30/417,593,864.70 = 299,010,165.30/x
  3. Step 3: Cross multiply
    299,010,165.30x = 417,593,864.70 × 299,010,165.30
  4. Step 4: Simplify right side
    299,010,165.30x = 124,864,810,512,212,832
  5. Step 5: Solve for x
    x = 124,864,810,512,212,832/299,010,165.30
  6. Step 6: Final answer
    x = 417,593,864.70

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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.