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Finding the Fourth Proportional to 1,901,595,753,622.80, 2,852,393,630,434 and 1,901,595,753,622.80

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Solution

The fourth proportional to 1,901,595,753,622.80, 2,852,393,630,434 and 1,901,595,753,622.80 is: 2,852,393,630,434

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901,595,753,622.80 : 2,852,393,630,434 = 1,901,595,753,622.80 : x
  2. Step 2: Convert to fraction form
    1,901,595,753,622.80/2,852,393,630,434 = 1,901,595,753,622.80/x
  3. Step 3: Cross multiply
    1,901,595,753,622.80x = 2,852,393,630,434 × 1,901,595,753,622.80
  4. Step 4: Simplify right side
    1,901,595,753,622.80x = 5,424,099,615,294,016,507,084,800
  5. Step 5: Solve for x
    x = 5,424,099,615,294,016,507,084,800/1,901,595,753,622.80
  6. Step 6: Final answer
    x = 2,852,393,630,434

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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.