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Finding the Fourth Proportional to 285,796,620,004.40, 428,694,930,006.60 and 285,796,620,004.40

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Solution

The fourth proportional to 285,796,620,004.40, 428,694,930,006.60 and 285,796,620,004.40 is: 428,694,930,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,796,620,004.40 : 428,694,930,006.60 = 285,796,620,004.40 : x
  2. Step 2: Convert to fraction form
    285,796,620,004.40/428,694,930,006.60 = 285,796,620,004.40/x
  3. Step 3: Cross multiply
    285,796,620,004.40x = 428,694,930,006.60 × 285,796,620,004.40
  4. Step 4: Simplify right side
    285,796,620,004.40x = 122,519,562,008,909,125,255,168
  5. Step 5: Solve for x
    x = 122,519,562,008,909,125,255,168/285,796,620,004.40
  6. Step 6: Final answer
    x = 428,694,930,006.60

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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.