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Finding the Fourth Proportional to 1,550,367,049,780, 2,325,550,574,670 and 1,550,367,049,780

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Solution

The fourth proportional to 1,550,367,049,780, 2,325,550,574,670 and 1,550,367,049,780 is: 2,325,550,574,670

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550,367,049,780 : 2,325,550,574,670 = 1,550,367,049,780 : x
  2. Step 2: Convert to fraction form
    1,550,367,049,780/2,325,550,574,670 = 1,550,367,049,780/x
  3. Step 3: Cross multiply
    1,550,367,049,780x = 2,325,550,574,670 × 1,550,367,049,780
  4. Step 4: Simplify right side
    1,550,367,049,780x = 3,605,456,983,565,311,590,531,072
  5. Step 5: Solve for x
    x = 3,605,456,983,565,311,590,531,072/1,550,367,049,780
  6. Step 6: Final answer
    x = 2,325,550,574,670

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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.