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Finding the Fourth Proportional to 11,755,053,142.05, 16,503,564,857.55 and 11,755,053,142.05

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Solution

The fourth proportional to 11,755,053,142.05, 16,503,564,857.55 and 11,755,053,142.05 is: 16,503,564,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755,053,142.05 : 16,503,564,857.55 = 11,755,053,142.05 : x
  2. Step 2: Convert to fraction form
    11,755,053,142.05/16,503,564,857.55 = 11,755,053,142.05/x
  3. Step 3: Cross multiply
    11,755,053,142.05x = 16,503,564,857.55 × 11,755,053,142.05
  4. Step 4: Simplify right side
    11,755,053,142.05x = 194,000,281,933,769,080,832
  5. Step 5: Solve for x
    x = 194,000,281,933,769,080,832/11,755,053,142.05
  6. Step 6: Final answer
    x = 16,503,564,857.55

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