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Finding the Fourth Proportional to 5,412,096,327.40, 8,118,144,491.10 and 5,412,096,327.40

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Solution

The fourth proportional to 5,412,096,327.40, 8,118,144,491.10 and 5,412,096,327.40 is: 8,118,144,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412,096,327.40 : 8,118,144,491.10 = 5,412,096,327.40 : x
  2. Step 2: Convert to fraction form
    5,412,096,327.40/8,118,144,491.10 = 5,412,096,327.40/x
  3. Step 3: Cross multiply
    5,412,096,327.40x = 8,118,144,491.10 × 5,412,096,327.40
  4. Step 4: Simplify right side
    5,412,096,327.40x = 43,936,179,985,584,848,896
  5. Step 5: Solve for x
    x = 43,936,179,985,584,848,896/5,412,096,327.40
  6. Step 6: Final answer
    x = 8,118,144,491.10

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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.