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Finding the Fourth Proportional to 511,101,696,006.80, 766,652,544,010.20 and 511,101,696,006.80

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Solution

The fourth proportional to 511,101,696,006.80, 766,652,544,010.20 and 511,101,696,006.80 is: 766,652,544,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,101,696,006.80 : 766,652,544,010.20 = 511,101,696,006.80 : x
  2. Step 2: Convert to fraction form
    511,101,696,006.80/766,652,544,010.20 = 511,101,696,006.80/x
  3. Step 3: Cross multiply
    511,101,696,006.80x = 766,652,544,010.20 × 511,101,696,006.80
  4. Step 4: Simplify right side
    511,101,696,006.80x = 391,837,415,491,541,053,472,768
  5. Step 5: Solve for x
    x = 391,837,415,491,541,053,472,768/511,101,696,006.80
  6. Step 6: Final answer
    x = 766,652,544,010.20

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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.