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Finding the Fourth Proportional to 164,897,284.80, 247,282,941.60 and 49,843,588.80

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Solution

The fourth proportional to 164,897,284.80, 247,282,941.60 and 49,843,588.80 is: 74,746,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,897,284.80 : 247,282,941.60 = 49,843,588.80 : x
  2. Step 2: Convert to fraction form
    164,897,284.80/247,282,941.60 = 49,843,588.80/x
  3. Step 3: Cross multiply
    164,897,284.80x = 247,282,941.60 × 49,843,588.80
  4. Step 4: Simplify right side
    164,897,284.80x = 12,325,469,258,364,814
  5. Step 5: Solve for x
    x = 12,325,469,258,364,814/164,897,284.80
  6. Step 6: Final answer
    x = 74,746,344.51

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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.