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Finding the Fourth Proportional to 131,909,502,003.51, 197,864,253,005.28 and 131,909,502,003.51

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Solution

The fourth proportional to 131,909,502,003.51, 197,864,253,005.28 and 131,909,502,003.51 is: 197,864,253,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,909,502,003.51 : 197,864,253,005.28 = 131,909,502,003.51 : x
  2. Step 2: Convert to fraction form
    131,909,502,003.51/197,864,253,005.28 = 131,909,502,003.51/x
  3. Step 3: Cross multiply
    131,909,502,003.51x = 197,864,253,005.28 × 131,909,502,003.51
  4. Step 4: Simplify right side
    131,909,502,003.51x = 26,100,175,078,222,989,361,152
  5. Step 5: Solve for x
    x = 26,100,175,078,222,989,361,152/131,909,502,003.51
  6. Step 6: Final answer
    x = 197,864,253,005.28

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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.