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Finding the Fourth Proportional to 3,930,088,894,974.40, 5,895,133,342,462.30 and 3,930,088,894,974.40

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Solution

The fourth proportional to 3,930,088,894,974.40, 5,895,133,342,462.30 and 3,930,088,894,974.40 is: 5,895,133,342,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930,088,894,974.40 : 5,895,133,342,462.30 = 3,930,088,894,974.40 : x
  2. Step 2: Convert to fraction form
    3,930,088,894,974.40/5,895,133,342,462.30 = 3,930,088,894,974.40/x
  3. Step 3: Cross multiply
    3,930,088,894,974.40x = 5,895,133,342,462.30 × 3,930,088,894,974.40
  4. Step 4: Simplify right side
    3,930,088,894,974.40x = 23,168,398,083,604,399,712,632,832
  5. Step 5: Solve for x
    x = 23,168,398,083,604,399,712,632,832/3,930,088,894,974.40
  6. Step 6: Final answer
    x = 5,895,133,342,462.30

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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.