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Finding the Fourth Proportional to 577,883,807,999.70, 866,825,711,999.55 and 577,883,807,999.70

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Solution

The fourth proportional to 577,883,807,999.70, 866,825,711,999.55 and 577,883,807,999.70 is: 866,825,711,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,883,807,999.70 : 866,825,711,999.55 = 577,883,807,999.70 : x
  2. Step 2: Convert to fraction form
    577,883,807,999.70/866,825,711,999.55 = 577,883,807,999.70/x
  3. Step 3: Cross multiply
    577,883,807,999.70x = 866,825,711,999.55 × 577,883,807,999.70
  4. Step 4: Simplify right side
    577,883,807,999.70x = 500,924,543,322,351,212,691,456
  5. Step 5: Solve for x
    x = 500,924,543,322,351,212,691,456/577,883,807,999.70
  6. Step 6: Final answer
    x = 866,825,711,999.55

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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.