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Finding the Fourth Proportional to 17,653,478,973,070, 26,480,218,459,606 and 17,653,478,973,070

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Solution

The fourth proportional to 17,653,478,973,070, 26,480,218,459,606 and 17,653,478,973,070 is: 26,480,218,459,606

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653,478,973,070 : 26,480,218,459,606 = 17,653,478,973,070 : x
  2. Step 2: Convert to fraction form
    17,653,478,973,070/26,480,218,459,606 = 17,653,478,973,070/x
  3. Step 3: Cross multiply
    17,653,478,973,070x = 26,480,218,459,606 × 17,653,478,973,070
  4. Step 4: Simplify right side
    17,653,478,973,070x = 467,467,979,778,954,600,646,705,152
  5. Step 5: Solve for x
    x = 467,467,979,778,954,600,646,705,152/17,653,478,973,070
  6. Step 6: Final answer
    x = 26,480,218,459,606

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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.