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Finding the Fourth Proportional to 655,121,952,036.80, 982,682,928,055.23 and 655,121,952,036.80

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Solution

The fourth proportional to 655,121,952,036.80, 982,682,928,055.23 and 655,121,952,036.80 is: 982,682,928,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,121,952,036.80 : 982,682,928,055.23 = 655,121,952,036.80 : x
  2. Step 2: Convert to fraction form
    655,121,952,036.80/982,682,928,055.23 = 655,121,952,036.80/x
  3. Step 3: Cross multiply
    655,121,952,036.80x = 982,682,928,055.23 × 655,121,952,036.80
  4. Step 4: Simplify right side
    655,121,952,036.80x = 643,777,158,060,780,550,094,848
  5. Step 5: Solve for x
    x = 643,777,158,060,780,550,094,848/655,121,952,036.80
  6. Step 6: Final answer
    x = 982,682,928,055.23

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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.