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Finding the Fourth Proportional to 516,560,652,046.80, 774,840,978,070.20 and 516,560,652,046.80

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Solution

The fourth proportional to 516,560,652,046.80, 774,840,978,070.20 and 516,560,652,046.80 is: 774,840,978,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,560,652,046.80 : 774,840,978,070.20 = 516,560,652,046.80 : x
  2. Step 2: Convert to fraction form
    516,560,652,046.80/774,840,978,070.20 = 516,560,652,046.80/x
  3. Step 3: Cross multiply
    516,560,652,046.80x = 774,840,978,070.20 × 516,560,652,046.80
  4. Step 4: Simplify right side
    516,560,652,046.80x = 400,252,360,864,522,766,909,440
  5. Step 5: Solve for x
    x = 400,252,360,864,522,766,909,440/516,560,652,046.80
  6. Step 6: Final answer
    x = 774,840,978,070.20

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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.