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Finding the Fourth Proportional to 111,878,658,002.17, 167,817,987,003.26 and 111,878,658,002.17

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Solution

The fourth proportional to 111,878,658,002.17, 167,817,987,003.26 and 111,878,658,002.17 is: 167,817,987,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,878,658,002.17 : 167,817,987,003.26 = 111,878,658,002.17 : x
  2. Step 2: Convert to fraction form
    111,878,658,002.17/167,817,987,003.26 = 111,878,658,002.17/x
  3. Step 3: Cross multiply
    111,878,658,002.17x = 167,817,987,003.26 × 111,878,658,002.17
  4. Step 4: Simplify right side
    111,878,658,002.17x = 18,775,251,174,550,335,913,984
  5. Step 5: Solve for x
    x = 18,775,251,174,550,335,913,984/111,878,658,002.17
  6. Step 6: Final answer
    x = 167,817,987,003.26

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