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Finding the Fourth Proportional to 271,308,528,098.65, 406,962,792,147.97 and 271,308,528,098.65

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Solution

The fourth proportional to 271,308,528,098.65, 406,962,792,147.97 and 271,308,528,098.65 is: 406,962,792,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,308,528,098.65 : 406,962,792,147.97 = 271,308,528,098.65 : x
  2. Step 2: Convert to fraction form
    271,308,528,098.65/406,962,792,147.97 = 271,308,528,098.65/x
  3. Step 3: Cross multiply
    271,308,528,098.65x = 406,962,792,147.97 × 271,308,528,098.65
  4. Step 4: Simplify right side
    271,308,528,098.65x = 110,412,476,128,582,566,936,576
  5. Step 5: Solve for x
    x = 110,412,476,128,582,566,936,576/271,308,528,098.65
  6. Step 6: Final answer
    x = 406,962,792,147.97

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.