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Finding the Fourth Proportional to 326,467,584,259.70, 489,701,376,389.55 and 326,467,584,259.70

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Solution

The fourth proportional to 326,467,584,259.70, 489,701,376,389.55 and 326,467,584,259.70 is: 489,701,376,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,467,584,259.70 : 489,701,376,389.55 = 326,467,584,259.70 : x
  2. Step 2: Convert to fraction form
    326,467,584,259.70/489,701,376,389.55 = 326,467,584,259.70/x
  3. Step 3: Cross multiply
    326,467,584,259.70x = 489,701,376,389.55 × 326,467,584,259.70
  4. Step 4: Simplify right side
    326,467,584,259.70x = 159,871,625,358,546,466,504,704
  5. Step 5: Solve for x
    x = 159,871,625,358,546,466,504,704/326,467,584,259.70
  6. Step 6: Final answer
    x = 489,701,376,389.55

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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.