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Finding the Fourth Proportional to 6,019,366,656,918.20, 9,029,049,985,377.60 and 6,019,366,656,918.20

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Solution

The fourth proportional to 6,019,366,656,918.20, 9,029,049,985,377.60 and 6,019,366,656,918.20 is: 9,029,049,985,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019,366,656,918.20 : 9,029,049,985,377.60 = 6,019,366,656,918.20 : x
  2. Step 2: Convert to fraction form
    6,019,366,656,918.20/9,029,049,985,377.60 = 6,019,366,656,918.20/x
  3. Step 3: Cross multiply
    6,019,366,656,918.20x = 9,029,049,985,377.60 × 6,019,366,656,918.20
  4. Step 4: Simplify right side
    6,019,366,656,918.20x = 54,349,162,425,629,685,407,809,536
  5. Step 5: Solve for x
    x = 54,349,162,425,629,685,407,809,536/6,019,366,656,918.20
  6. Step 6: Final answer
    x = 9,029,049,985,377.60

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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.