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Finding the Fourth Proportional to 3,992,285,516,999.70, 5,988,428,275,499.70 and 3,992,285,516,999.70

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Solution

The fourth proportional to 3,992,285,516,999.70, 5,988,428,275,499.70 and 3,992,285,516,999.70 is: 5,988,428,275,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992,285,516,999.70 : 5,988,428,275,499.70 = 3,992,285,516,999.70 : x
  2. Step 2: Convert to fraction form
    3,992,285,516,999.70/5,988,428,275,499.70 = 3,992,285,516,999.70/x
  3. Step 3: Cross multiply
    3,992,285,516,999.70x = 5,988,428,275,499.70 × 3,992,285,516,999.70
  4. Step 4: Simplify right side
    3,992,285,516,999.70x = 23,907,515,473,868,943,140,061,184
  5. Step 5: Solve for x
    x = 23,907,515,473,868,943,140,061,184/3,992,285,516,999.70
  6. Step 6: Final answer
    x = 5,988,428,275,499.70

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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.