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Finding the Fourth Proportional to 70,576,502,183.60, 99,055,052,170 and 70,576,502,183.60

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Solution

The fourth proportional to 70,576,502,183.60, 99,055,052,170 and 70,576,502,183.60 is: 99,055,052,170

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,576,502,183.60 : 99,055,052,170 = 70,576,502,183.60 : x
  2. Step 2: Convert to fraction form
    70,576,502,183.60/99,055,052,170 = 70,576,502,183.60/x
  3. Step 3: Cross multiply
    70,576,502,183.60x = 99,055,052,170 × 70,576,502,183.60
  4. Step 4: Simplify right side
    70,576,502,183.60x = 6,990,959,105,772,617,728,000
  5. Step 5: Solve for x
    x = 6,990,959,105,772,617,728,000/70,576,502,183.60
  6. Step 6: Final answer
    x = 99,055,052,170

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.