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Finding the Fourth Proportional to 17,103,313,907.65, 23,977,291,205.75 and 17,103,313,907.65

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Solution

The fourth proportional to 17,103,313,907.65, 23,977,291,205.75 and 17,103,313,907.65 is: 23,977,291,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,103,313,907.65 : 23,977,291,205.75 = 17,103,313,907.65 : x
  2. Step 2: Convert to fraction form
    17,103,313,907.65/23,977,291,205.75 = 17,103,313,907.65/x
  3. Step 3: Cross multiply
    17,103,313,907.65x = 23,977,291,205.75 × 17,103,313,907.65
  4. Step 4: Simplify right side
    17,103,313,907.65x = 410,091,138,147,077,980,160
  5. Step 5: Solve for x
    x = 410,091,138,147,077,980,160/17,103,313,907.65
  6. Step 6: Final answer
    x = 23,977,291,205.75

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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.