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Finding the Fourth Proportional to 2,566,340,766,048.20, 3,849,511,149,072.20 and 2,566,340,766,048.20

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Solution

The fourth proportional to 2,566,340,766,048.20, 3,849,511,149,072.20 and 2,566,340,766,048.20 is: 3,849,511,149,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566,340,766,048.20 : 3,849,511,149,072.20 = 2,566,340,766,048.20 : x
  2. Step 2: Convert to fraction form
    2,566,340,766,048.20/3,849,511,149,072.20 = 2,566,340,766,048.20/x
  3. Step 3: Cross multiply
    2,566,340,766,048.20x = 3,849,511,149,072.20 × 2,566,340,766,048.20
  4. Step 4: Simplify right side
    2,566,340,766,048.20x = 9,879,157,391,221,036,668,682,240
  5. Step 5: Solve for x
    x = 9,879,157,391,221,036,668,682,240/2,566,340,766,048.20
  6. Step 6: Final answer
    x = 3,849,511,149,072.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.