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Finding the Fourth Proportional to 516,063,906.60, 774,095,859.90 and 516,063,906.60

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Solution

The fourth proportional to 516,063,906.60, 774,095,859.90 and 516,063,906.60 is: 774,095,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,063,906.60 : 774,095,859.90 = 516,063,906.60 : x
  2. Step 2: Convert to fraction form
    516,063,906.60/774,095,859.90 = 516,063,906.60/x
  3. Step 3: Cross multiply
    516,063,906.60x = 774,095,859.90 × 516,063,906.60
  4. Step 4: Simplify right side
    516,063,906.60x = 399,482,933,542,880,320
  5. Step 5: Solve for x
    x = 399,482,933,542,880,320/516,063,906.60
  6. Step 6: Final answer
    x = 774,095,859.90

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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.