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Finding the Fourth Proportional to 503,836,336.40, 755,754,504.60 and 475,138,522.40

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Solution

The fourth proportional to 503,836,336.40, 755,754,504.60 and 475,138,522.40 is: 712,707,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,836,336.40 : 755,754,504.60 = 475,138,522.40 : x
  2. Step 2: Convert to fraction form
    503,836,336.40/755,754,504.60 = 475,138,522.40/x
  3. Step 3: Cross multiply
    503,836,336.40x = 755,754,504.60 × 475,138,522.40
  4. Step 4: Simplify right side
    503,836,336.40x = 359,088,078,612,787,968
  5. Step 5: Solve for x
    x = 359,088,078,612,787,968/503,836,336.40
  6. Step 6: Final answer
    x = 712,707,783.60

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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.