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Finding the Fourth Proportional to 11,423,366,998.20, 17,102,801,870.10 and 11,423,366,998.20

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Solution

The fourth proportional to 11,423,366,998.20, 17,102,801,870.10 and 11,423,366,998.20 is: 17,102,801,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423,366,998.20 : 17,102,801,870.10 = 11,423,366,998.20 : x
  2. Step 2: Convert to fraction form
    11,423,366,998.20/17,102,801,870.10 = 11,423,366,998.20/x
  3. Step 3: Cross multiply
    11,423,366,998.20x = 17,102,801,870.10 × 11,423,366,998.20
  4. Step 4: Simplify right side
    11,423,366,998.20x = 195,371,582,459,653,586,944
  5. Step 5: Solve for x
    x = 195,371,582,459,653,586,944/11,423,366,998.20
  6. Step 6: Final answer
    x = 17,102,801,870.10

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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.