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Finding the Fourth Proportional to 3,930,088,890,945.30, 5,895,133,336,418.10 and 3,930,088,890,945.30

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Solution

The fourth proportional to 3,930,088,890,945.30, 5,895,133,336,418.10 and 3,930,088,890,945.30 is: 5,895,133,336,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930,088,890,945.30 : 5,895,133,336,418.10 = 3,930,088,890,945.30 : x
  2. Step 2: Convert to fraction form
    3,930,088,890,945.30/5,895,133,336,418.10 = 3,930,088,890,945.30/x
  3. Step 3: Cross multiply
    3,930,088,890,945.30x = 5,895,133,336,418.10 × 3,930,088,890,945.30
  4. Step 4: Simplify right side
    3,930,088,890,945.30x = 23,168,398,036,098,075,689,222,144
  5. Step 5: Solve for x
    x = 23,168,398,036,098,075,689,222,144/3,930,088,890,945.30
  6. Step 6: Final answer
    x = 5,895,133,336,418.10

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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.