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Finding the Fourth Proportional to 3,930,088,890,980.20, 5,895,133,336,470.30 and 3,930,088,890,980.20

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Solution

The fourth proportional to 3,930,088,890,980.20, 5,895,133,336,470.30 and 3,930,088,890,980.20 is: 5,895,133,336,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930,088,890,980.20 : 5,895,133,336,470.30 = 3,930,088,890,980.20 : x
  2. Step 2: Convert to fraction form
    3,930,088,890,980.20/5,895,133,336,470.30 = 3,930,088,890,980.20/x
  3. Step 3: Cross multiply
    3,930,088,890,980.20x = 5,895,133,336,470.30 × 3,930,088,890,980.20
  4. Step 4: Simplify right side
    3,930,088,890,980.20x = 23,168,398,036,508,966,620,495,872
  5. Step 5: Solve for x
    x = 23,168,398,036,508,966,620,495,872/3,930,088,890,980.20
  6. Step 6: Final answer
    x = 5,895,133,336,470.30

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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.