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Finding the Fourth Proportional to 409,451,706.40, 614,177,559.60 and 336,750,577.60

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Solution

The fourth proportional to 409,451,706.40, 614,177,559.60 and 336,750,577.60 is: 505,125,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,451,706.40 : 614,177,559.60 = 336,750,577.60 : x
  2. Step 2: Convert to fraction form
    409,451,706.40/614,177,559.60 = 336,750,577.60/x
  3. Step 3: Cross multiply
    409,451,706.40x = 614,177,559.60 × 336,750,577.60
  4. Step 4: Simplify right side
    409,451,706.40x = 206,824,647,944,258,432
  5. Step 5: Solve for x
    x = 206,824,647,944,258,432/409,451,706.40
  6. Step 6: Final answer
    x = 505,125,866.40

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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.