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Finding the Fourth Proportional to 1,396,293,254,622, 2,094,439,881,933 and 1,396,293,254,622

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Solution

The fourth proportional to 1,396,293,254,622, 2,094,439,881,933 and 1,396,293,254,622 is: 2,094,439,881,933

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,293,254,622 : 2,094,439,881,933 = 1,396,293,254,622 : x
  2. Step 2: Convert to fraction form
    1,396,293,254,622/2,094,439,881,933 = 1,396,293,254,622/x
  3. Step 3: Cross multiply
    1,396,293,254,622x = 2,094,439,881,933 × 1,396,293,254,622
  4. Step 4: Simplify right side
    1,396,293,254,622x = 2,924,452,279,354,345,868,230,656
  5. Step 5: Solve for x
    x = 2,924,452,279,354,345,868,230,656/1,396,293,254,622
  6. Step 6: Final answer
    x = 2,094,439,881,933

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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.