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Finding the Fourth Proportional to 4,012,910,990,999.60, 6,019,366,486,499.60 and 4,012,910,990,999.60

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Solution

The fourth proportional to 4,012,910,990,999.60, 6,019,366,486,499.60 and 4,012,910,990,999.60 is: 6,019,366,486,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012,910,990,999.60 : 6,019,366,486,499.60 = 4,012,910,990,999.60 : x
  2. Step 2: Convert to fraction form
    4,012,910,990,999.60/6,019,366,486,499.60 = 4,012,910,990,999.60/x
  3. Step 3: Cross multiply
    4,012,910,990,999.60x = 6,019,366,486,499.60 × 4,012,910,990,999.60
  4. Step 4: Simplify right side
    4,012,910,990,999.60x = 24,155,181,932,528,890,338,607,104
  5. Step 5: Solve for x
    x = 24,155,181,932,528,890,338,607,104/4,012,910,990,999.60
  6. Step 6: Final answer
    x = 6,019,366,486,499.60

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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.