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Finding the Fourth Proportional to 320,792,595,643.10, 481,188,893,464.65 and 320,792,595,643.10

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Solution

The fourth proportional to 320,792,595,643.10, 481,188,893,464.65 and 320,792,595,643.10 is: 481,188,893,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,792,595,643.10 : 481,188,893,464.65 = 320,792,595,643.10 : x
  2. Step 2: Convert to fraction form
    320,792,595,643.10/481,188,893,464.65 = 320,792,595,643.10/x
  3. Step 3: Cross multiply
    320,792,595,643.10x = 481,188,893,464.65 × 320,792,595,643.10
  4. Step 4: Simplify right side
    320,792,595,643.10x = 154,361,834,129,156,193,910,784
  5. Step 5: Solve for x
    x = 154,361,834,129,156,193,910,784/320,792,595,643.10
  6. Step 6: Final answer
    x = 481,188,893,464.65

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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.