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Finding the Fourth Proportional to 2,018,002,114.05, 3,027,003,171.08 and 2,018,002,114.05

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Solution

The fourth proportional to 2,018,002,114.05, 3,027,003,171.08 and 2,018,002,114.05 is: 3,027,003,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018,002,114.05 : 3,027,003,171.08 = 2,018,002,114.05 : x
  2. Step 2: Convert to fraction form
    2,018,002,114.05/3,027,003,171.08 = 2,018,002,114.05/x
  3. Step 3: Cross multiply
    2,018,002,114.05x = 3,027,003,171.08 × 2,018,002,114.05
  4. Step 4: Simplify right side
    2,018,002,114.05x = 6,108,498,798,465,402,880
  5. Step 5: Solve for x
    x = 6,108,498,798,465,402,880/2,018,002,114.05
  6. Step 6: Final answer
    x = 3,027,003,171.08

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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.