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Finding the Fourth Proportional to 18,884,016,006.40, 26,476,320,761.60 and 18,884,016,006.40

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Solution

The fourth proportional to 18,884,016,006.40, 26,476,320,761.60 and 18,884,016,006.40 is: 26,476,320,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,884,016,006.40 : 26,476,320,761.60 = 18,884,016,006.40 : x
  2. Step 2: Convert to fraction form
    18,884,016,006.40/26,476,320,761.60 = 18,884,016,006.40/x
  3. Step 3: Cross multiply
    18,884,016,006.40x = 26,476,320,761.60 × 18,884,016,006.40
  4. Step 4: Simplify right side
    18,884,016,006.40x = 499,979,265,052,635,037,696
  5. Step 5: Solve for x
    x = 499,979,265,052,635,037,696/18,884,016,006.40
  6. Step 6: Final answer
    x = 26,476,320,761.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.