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Finding the Fourth Proportional to 7,728,048,016.80, 11,592,072,025.24 and 7,728,048,016.80

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Solution

The fourth proportional to 7,728,048,016.80, 11,592,072,025.24 and 7,728,048,016.80 is: 11,592,072,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728,048,016.80 : 11,592,072,025.24 = 7,728,048,016.80 : x
  2. Step 2: Convert to fraction form
    7,728,048,016.80/11,592,072,025.24 = 7,728,048,016.80/x
  3. Step 3: Cross multiply
    7,728,048,016.80x = 11,592,072,025.24 × 7,728,048,016.80
  4. Step 4: Simplify right side
    7,728,048,016.80x = 89,584,089,225,258,745,856
  5. Step 5: Solve for x
    x = 89,584,089,225,258,745,856/7,728,048,016.80
  6. Step 6: Final answer
    x = 11,592,072,025.24

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Double scale
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1.5x scale

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.