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Finding the Fourth Proportional to 2,566,340,766,014.50, 3,849,511,149,021.80 and 2,566,340,766,014.50

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Solution

The fourth proportional to 2,566,340,766,014.50, 3,849,511,149,021.80 and 2,566,340,766,014.50 is: 3,849,511,149,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566,340,766,014.50 : 3,849,511,149,021.80 = 2,566,340,766,014.50 : x
  2. Step 2: Convert to fraction form
    2,566,340,766,014.50/3,849,511,149,021.80 = 2,566,340,766,014.50/x
  3. Step 3: Cross multiply
    2,566,340,766,014.50x = 3,849,511,149,021.80 × 2,566,340,766,014.50
  4. Step 4: Simplify right side
    2,566,340,766,014.50x = 9,879,157,390,961,964,241,387,520
  5. Step 5: Solve for x
    x = 9,879,157,390,961,964,241,387,520/2,566,340,766,014.50
  6. Step 6: Final answer
    x = 3,849,511,149,021.80

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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.