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Finding the Fourth Proportional to 489,945,073,485.15, 734,917,610,227.75 and 489,945,073,485.15

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Solution

The fourth proportional to 489,945,073,485.15, 734,917,610,227.75 and 489,945,073,485.15 is: 734,917,610,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,945,073,485.15 : 734,917,610,227.75 = 489,945,073,485.15 : x
  2. Step 2: Convert to fraction form
    489,945,073,485.15/734,917,610,227.75 = 489,945,073,485.15/x
  3. Step 3: Cross multiply
    489,945,073,485.15x = 734,917,610,227.75 × 489,945,073,485.15
  4. Step 4: Simplify right side
    489,945,073,485.15x = 360,069,262,548,565,804,187,648
  5. Step 5: Solve for x
    x = 360,069,262,548,565,804,187,648/489,945,073,485.15
  6. Step 6: Final answer
    x = 734,917,610,227.75

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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.