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Finding the Fourth Proportional to 17,103,313,908.65, 23,977,291,207.15 and 17,103,313,908.65

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Solution

The fourth proportional to 17,103,313,908.65, 23,977,291,207.15 and 17,103,313,908.65 is: 23,977,291,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,103,313,908.65 : 23,977,291,207.15 = 17,103,313,908.65 : x
  2. Step 2: Convert to fraction form
    17,103,313,908.65/23,977,291,207.15 = 17,103,313,908.65/x
  3. Step 3: Cross multiply
    17,103,313,908.65x = 23,977,291,207.15 × 17,103,313,908.65
  4. Step 4: Simplify right side
    17,103,313,908.65x = 410,091,138,194,999,934,976
  5. Step 5: Solve for x
    x = 410,091,138,194,999,934,976/17,103,313,908.65
  6. Step 6: Final answer
    x = 23,977,291,207.15

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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.