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Finding the Fourth Proportional to 1,550,367,049,778, 2,325,550,574,667 and 1,550,367,049,778

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Solution

The fourth proportional to 1,550,367,049,778, 2,325,550,574,667 and 1,550,367,049,778 is: 2,325,550,574,667

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550,367,049,778 : 2,325,550,574,667 = 1,550,367,049,778 : x
  2. Step 2: Convert to fraction form
    1,550,367,049,778/2,325,550,574,667 = 1,550,367,049,778/x
  3. Step 3: Cross multiply
    1,550,367,049,778x = 2,325,550,574,667 × 1,550,367,049,778
  4. Step 4: Simplify right side
    1,550,367,049,778x = 3,605,456,983,556,009,228,238,848
  5. Step 5: Solve for x
    x = 3,605,456,983,556,009,228,238,848/1,550,367,049,778
  6. Step 6: Final answer
    x = 2,325,550,574,667

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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.