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Finding the Fourth Proportional to 579,274,091,998.80, 868,911,137,998.20 and 579,274,091,998.80

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Solution

The fourth proportional to 579,274,091,998.80, 868,911,137,998.20 and 579,274,091,998.80 is: 868,911,137,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,274,091,998.80 : 868,911,137,998.20 = 579,274,091,998.80 : x
  2. Step 2: Convert to fraction form
    579,274,091,998.80/868,911,137,998.20 = 579,274,091,998.80/x
  3. Step 3: Cross multiply
    579,274,091,998.80x = 868,911,137,998.20 × 579,274,091,998.80
  4. Step 4: Simplify right side
    579,274,091,998.80x = 503,337,710,491,551,330,729,984
  5. Step 5: Solve for x
    x = 503,337,710,491,551,330,729,984/579,274,091,998.80
  6. Step 6: Final answer
    x = 868,911,137,998.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.