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Finding the Fourth Proportional to 866,825,711,996.80, 1,300,238,567,995.20 and 866,825,711,996.80

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Solution

The fourth proportional to 866,825,711,996.80, 1,300,238,567,995.20 and 866,825,711,996.80 is: 1,300,238,567,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,825,711,996.80 : 1,300,238,567,995.20 = 866,825,711,996.80 : x
  2. Step 2: Convert to fraction form
    866,825,711,996.80/1,300,238,567,995.20 = 866,825,711,996.80/x
  3. Step 3: Cross multiply
    866,825,711,996.80x = 1,300,238,567,995.20 × 866,825,711,996.80
  4. Step 4: Simplify right side
    866,825,711,996.80x = 1,127,080,222,468,138,856,349,696
  5. Step 5: Solve for x
    x = 1,127,080,222,468,138,856,349,696/866,825,711,996.80
  6. Step 6: Final answer
    x = 1,300,238,567,995.20

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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.