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Finding the Fourth Proportional to 11,755,053,143.68, 16,503,564,859.83 and 11,755,053,143.68

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Solution

The fourth proportional to 11,755,053,143.68, 16,503,564,859.83 and 11,755,053,143.68 is: 16,503,564,859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755,053,143.68 : 16,503,564,859.83 = 11,755,053,143.68 : x
  2. Step 2: Convert to fraction form
    11,755,053,143.68/16,503,564,859.83 = 11,755,053,143.68/x
  3. Step 3: Cross multiply
    11,755,053,143.68x = 16,503,564,859.83 × 11,755,053,143.68
  4. Step 4: Simplify right side
    11,755,053,143.68x = 194,000,281,987,471,409,152
  5. Step 5: Solve for x
    x = 194,000,281,987,471,409,152/11,755,053,143.68
  6. Step 6: Final answer
    x = 16,503,564,859.83

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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.