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Finding the Fourth Proportional to 1,901,595,753,611, 2,852,393,630,416.50 and 1,901,595,753,611

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Solution

The fourth proportional to 1,901,595,753,611, 2,852,393,630,416.50 and 1,901,595,753,611 is: 2,852,393,630,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901,595,753,611 : 2,852,393,630,416.50 = 1,901,595,753,611 : x
  2. Step 2: Convert to fraction form
    1,901,595,753,611/2,852,393,630,416.50 = 1,901,595,753,611/x
  3. Step 3: Cross multiply
    1,901,595,753,611x = 2,852,393,630,416.50 × 1,901,595,753,611
  4. Step 4: Simplify right side
    1,901,595,753,611x = 5,424,099,615,227,080,515,518,464
  5. Step 5: Solve for x
    x = 5,424,099,615,227,080,515,518,464/1,901,595,753,611
  6. Step 6: Final answer
    x = 2,852,393,630,416.50

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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.