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Finding the Fourth Proportional to 416,577,200.55, 624,865,800.83 and 416,577,200.55

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Solution

The fourth proportional to 416,577,200.55, 624,865,800.83 and 416,577,200.55 is: 624,865,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,577,200.55 : 624,865,800.83 = 416,577,200.55 : x
  2. Step 2: Convert to fraction form
    416,577,200.55/624,865,800.83 = 416,577,200.55/x
  3. Step 3: Cross multiply
    416,577,200.55x = 624,865,800.83 × 416,577,200.55
  4. Step 4: Simplify right side
    416,577,200.55x = 260,304,846,027,112,416
  5. Step 5: Solve for x
    x = 260,304,846,027,112,416/416,577,200.55
  6. Step 6: Final answer
    x = 624,865,800.83

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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.