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Finding the Fourth Proportional to 3,930,088,894,965.30, 5,895,133,342,447.90 and 3,930,088,894,965.30

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Solution

The fourth proportional to 3,930,088,894,965.30, 5,895,133,342,447.90 and 3,930,088,894,965.30 is: 5,895,133,342,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930,088,894,965.30 : 5,895,133,342,447.90 = 3,930,088,894,965.30 : x
  2. Step 2: Convert to fraction form
    3,930,088,894,965.30/5,895,133,342,447.90 = 3,930,088,894,965.30/x
  3. Step 3: Cross multiply
    3,930,088,894,965.30x = 5,895,133,342,447.90 × 3,930,088,894,965.30
  4. Step 4: Simplify right side
    3,930,088,894,965.30x = 23,168,398,083,494,165,082,013,696
  5. Step 5: Solve for x
    x = 23,168,398,083,494,165,082,013,696/3,930,088,894,965.30
  6. Step 6: Final answer
    x = 5,895,133,342,447.90

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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.