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Finding the Fourth Proportional to 489,265,092.34, 734,024,659.47 and 182,559,512.50

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Solution

The fourth proportional to 489,265,092.34, 734,024,659.47 and 182,559,512.50 is: 273,886,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,265,092.34 : 734,024,659.47 = 182,559,512.50 : x
  2. Step 2: Convert to fraction form
    489,265,092.34/734,024,659.47 = 182,559,512.50/x
  3. Step 3: Cross multiply
    489,265,092.34x = 734,024,659.47 × 182,559,512.50
  4. Step 4: Simplify right side
    489,265,092.34x = 134,003,183,995,821,712
  5. Step 5: Solve for x
    x = 134,003,183,995,821,712/489,265,092.34
  6. Step 6: Final answer
    x = 273,886,664.09

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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.