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Finding the Fourth Proportional to 1,334,693,885.10, 2,002,040,827.65 and 1,334,693,885.10

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Solution

The fourth proportional to 1,334,693,885.10, 2,002,040,827.65 and 1,334,693,885.10 is: 2,002,040,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,693,885.10 : 2,002,040,827.65 = 1,334,693,885.10 : x
  2. Step 2: Convert to fraction form
    1,334,693,885.10/2,002,040,827.65 = 1,334,693,885.10/x
  3. Step 3: Cross multiply
    1,334,693,885.10x = 2,002,040,827.65 × 1,334,693,885.10
  4. Step 4: Simplify right side
    1,334,693,885.10x = 2,672,111,650,384,997,888
  5. Step 5: Solve for x
    x = 2,672,111,650,384,997,888/1,334,693,885.10
  6. Step 6: Final answer
    x = 2,002,040,827.65

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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.