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Finding the Fourth Proportional to 11,423,366,999.70, 17,102,801,872.35 and 11,423,366,999.70

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Solution

The fourth proportional to 11,423,366,999.70, 17,102,801,872.35 and 11,423,366,999.70 is: 17,102,801,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423,366,999.70 : 17,102,801,872.35 = 11,423,366,999.70 : x
  2. Step 2: Convert to fraction form
    11,423,366,999.70/17,102,801,872.35 = 11,423,366,999.70/x
  3. Step 3: Cross multiply
    11,423,366,999.70x = 17,102,801,872.35 × 11,423,366,999.70
  4. Step 4: Simplify right side
    11,423,366,999.70x = 195,371,582,511,010,381,824
  5. Step 5: Solve for x
    x = 195,371,582,511,010,381,824/11,423,366,999.70
  6. Step 6: Final answer
    x = 17,102,801,872.35

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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.