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Finding the Fourth Proportional to 481,188,893,464.02, 721,783,340,196.05 and 481,188,893,464.02

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Solution

The fourth proportional to 481,188,893,464.02, 721,783,340,196.05 and 481,188,893,464.02 is: 721,783,340,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,188,893,464.02 : 721,783,340,196.05 = 481,188,893,464.02 : x
  2. Step 2: Convert to fraction form
    481,188,893,464.02/721,783,340,196.05 = 481,188,893,464.02/x
  3. Step 3: Cross multiply
    481,188,893,464.02x = 721,783,340,196.05 × 481,188,893,464.02
  4. Step 4: Simplify right side
    481,188,893,464.02x = 347,314,126,789,701,657,427,968
  5. Step 5: Solve for x
    x = 347,314,126,789,701,657,427,968/481,188,893,464.02
  6. Step 6: Final answer
    x = 721,783,340,196.05

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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.