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Finding the Fourth Proportional to 167,333,652,002.17, 251,000,478,003.26 and 167,333,652,002.17

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Solution

The fourth proportional to 167,333,652,002.17, 251,000,478,003.26 and 167,333,652,002.17 is: 251,000,478,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,333,652,002.17 : 251,000,478,003.26 = 167,333,652,002.17 : x
  2. Step 2: Convert to fraction form
    167,333,652,002.17/251,000,478,003.26 = 167,333,652,002.17/x
  3. Step 3: Cross multiply
    167,333,652,002.17x = 251,000,478,003.26 × 167,333,652,002.17
  4. Step 4: Simplify right side
    167,333,652,002.17x = 42,000,826,638,575,842,885,632
  5. Step 5: Solve for x
    x = 42,000,826,638,575,842,885,632/167,333,652,002.17
  6. Step 6: Final answer
    x = 251,000,478,003.26

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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.