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Finding the Fourth Proportional to 665,127,936,026, 997,691,904,039 and 665,127,936,026

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Solution

The fourth proportional to 665,127,936,026, 997,691,904,039 and 665,127,936,026 is: 997,691,904,039

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,127,936,026 : 997,691,904,039 = 665,127,936,026 : x
  2. Step 2: Convert to fraction form
    665,127,936,026/997,691,904,039 = 665,127,936,026/x
  3. Step 3: Cross multiply
    665,127,936,026x = 997,691,904,039 × 665,127,936,026
  4. Step 4: Simplify right side
    665,127,936,026x = 663,592,756,923,310,161,264,640
  5. Step 5: Solve for x
    x = 663,592,756,923,310,161,264,640/665,127,936,026
  6. Step 6: Final answer
    x = 997,691,904,039

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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.