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Finding the Fourth Proportional to 6,540,372,000.45, 9,810,558,000.68 and 6,540,372,000.45

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Solution

The fourth proportional to 6,540,372,000.45, 9,810,558,000.68 and 6,540,372,000.45 is: 9,810,558,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,372,000.45 : 9,810,558,000.68 = 6,540,372,000.45 : x
  2. Step 2: Convert to fraction form
    6,540,372,000.45/9,810,558,000.68 = 6,540,372,000.45/x
  3. Step 3: Cross multiply
    6,540,372,000.45x = 9,810,558,000.68 × 6,540,372,000.45
  4. Step 4: Simplify right side
    6,540,372,000.45x = 64,164,698,856,405,491,712
  5. Step 5: Solve for x
    x = 64,164,698,856,405,491,712/6,540,372,000.45
  6. Step 6: Final answer
    x = 9,810,558,000.68

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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.