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Finding the Fourth Proportional to 17,653,478,973,169, 26,480,218,459,756 and 17,653,478,973,169

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Solution

The fourth proportional to 17,653,478,973,169, 26,480,218,459,756 and 17,653,478,973,169 is: 26,480,218,459,756

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653,478,973,169 : 26,480,218,459,756 = 17,653,478,973,169 : x
  2. Step 2: Convert to fraction form
    17,653,478,973,169/26,480,218,459,756 = 17,653,478,973,169/x
  3. Step 3: Cross multiply
    17,653,478,973,169x = 26,480,218,459,756 × 17,653,478,973,169
  4. Step 4: Simplify right side
    17,653,478,973,169x = 467,467,979,784,224,147,561,775,104
  5. Step 5: Solve for x
    x = 467,467,979,784,224,147,561,775,104/17,653,478,973,169
  6. Step 6: Final answer
    x = 26,480,218,459,756

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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.