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Finding the Fourth Proportional to 11,755,053,168.30, 16,503,564,894.30 and 11,755,053,168.30

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Solution

The fourth proportional to 11,755,053,168.30, 16,503,564,894.30 and 11,755,053,168.30 is: 16,503,564,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755,053,168.30 : 16,503,564,894.30 = 11,755,053,168.30 : x
  2. Step 2: Convert to fraction form
    11,755,053,168.30/16,503,564,894.30 = 11,755,053,168.30/x
  3. Step 3: Cross multiply
    11,755,053,168.30x = 16,503,564,894.30 × 11,755,053,168.30
  4. Step 4: Simplify right side
    11,755,053,168.30x = 194,000,282,798,985,838,592
  5. Step 5: Solve for x
    x = 194,000,282,798,985,838,592/11,755,053,168.30
  6. Step 6: Final answer
    x = 16,503,564,894.30

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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.