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Finding the Fourth Proportional to 964,563,714,311.75, 1,446,845,571,467.60 and 964,563,714,311.75

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Solution

The fourth proportional to 964,563,714,311.75, 1,446,845,571,467.60 and 964,563,714,311.75 is: 1,446,845,571,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,563,714,311.75 : 1,446,845,571,467.60 = 964,563,714,311.75 : x
  2. Step 2: Convert to fraction form
    964,563,714,311.75/1,446,845,571,467.60 = 964,563,714,311.75/x
  3. Step 3: Cross multiply
    964,563,714,311.75x = 1,446,845,571,467.60 × 964,563,714,311.75
  4. Step 4: Simplify right side
    964,563,714,311.75x = 1,395,574,738,450,294,968,942,592
  5. Step 5: Solve for x
    x = 1,395,574,738,450,294,968,942,592/964,563,714,311.75
  6. Step 6: Final answer
    x = 1,446,845,571,467.60

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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.