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Finding the Fourth Proportional to 6,540,443,670.15, 9,810,665,505.24 and 6,540,443,670.15

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Solution

The fourth proportional to 6,540,443,670.15, 9,810,665,505.24 and 6,540,443,670.15 is: 9,810,665,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,443,670.15 : 9,810,665,505.24 = 6,540,443,670.15 : x
  2. Step 2: Convert to fraction form
    6,540,443,670.15/9,810,665,505.24 = 6,540,443,670.15/x
  3. Step 3: Cross multiply
    6,540,443,670.15x = 9,810,665,505.24 × 6,540,443,670.15
  4. Step 4: Simplify right side
    6,540,443,670.15x = 64,166,105,103,705,907,200
  5. Step 5: Solve for x
    x = 64,166,105,103,705,907,200/6,540,443,670.15
  6. Step 6: Final answer
    x = 9,810,665,505.24

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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.