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Finding the Fourth Proportional to 733,142,907,007.20, 1,099,714,360,510.80 and 733,142,907,007.20

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Solution

The fourth proportional to 733,142,907,007.20, 1,099,714,360,510.80 and 733,142,907,007.20 is: 1,099,714,360,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,142,907,007.20 : 1,099,714,360,510.80 = 733,142,907,007.20 : x
  2. Step 2: Convert to fraction form
    733,142,907,007.20/1,099,714,360,510.80 = 733,142,907,007.20/x
  3. Step 3: Cross multiply
    733,142,907,007.20x = 1,099,714,360,510.80 × 733,142,907,007.20
  4. Step 4: Simplify right side
    733,142,907,007.20x = 806,247,783,142,451,845,267,456
  5. Step 5: Solve for x
    x = 806,247,783,142,451,845,267,456/733,142,907,007.20
  6. Step 6: Final answer
    x = 1,099,714,360,510.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.