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Finding the Fourth Proportional to 12,088,626,462,182, 18,132,939,693,272 and 12,088,626,462,182

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Solution

The fourth proportional to 12,088,626,462,182, 18,132,939,693,272 and 12,088,626,462,182 is: 18,132,939,693,272

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088,626,462,182 : 18,132,939,693,272 = 12,088,626,462,182 : x
  2. Step 2: Convert to fraction form
    12,088,626,462,182/18,132,939,693,272 = 12,088,626,462,182/x
  3. Step 3: Cross multiply
    12,088,626,462,182x = 18,132,939,693,272 × 12,088,626,462,182
  4. Step 4: Simplify right side
    12,088,626,462,182x = 219,202,334,613,238,253,227,081,728
  5. Step 5: Solve for x
    x = 219,202,334,613,238,253,227,081,728/12,088,626,462,182
  6. Step 6: Final answer
    x = 18,132,939,693,272

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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.