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Finding the Fourth Proportional to 588,679,163,998.80, 883,018,745,998.20 and 588,679,163,998.80

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Solution

The fourth proportional to 588,679,163,998.80, 883,018,745,998.20 and 588,679,163,998.80 is: 883,018,745,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,679,163,998.80 : 883,018,745,998.20 = 588,679,163,998.80 : x
  2. Step 2: Convert to fraction form
    588,679,163,998.80/883,018,745,998.20 = 588,679,163,998.80/x
  3. Step 3: Cross multiply
    588,679,163,998.80x = 883,018,745,998.20 × 588,679,163,998.80
  4. Step 4: Simplify right side
    588,679,163,998.80x = 519,814,737,189,489,094,950,912
  5. Step 5: Solve for x
    x = 519,814,737,189,489,094,950,912/588,679,163,998.80
  6. Step 6: Final answer
    x = 883,018,745,998.20

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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.