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Finding the Fourth Proportional to 7,978,176,945.60, 11,187,814,324.80 and 7,978,176,945.60

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Solution

The fourth proportional to 7,978,176,945.60, 11,187,814,324.80 and 7,978,176,945.60 is: 11,187,814,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,176,945.60 : 11,187,814,324.80 = 7,978,176,945.60 : x
  2. Step 2: Convert to fraction form
    7,978,176,945.60/11,187,814,324.80 = 7,978,176,945.60/x
  3. Step 3: Cross multiply
    7,978,176,945.60x = 11,187,814,324.80 × 7,978,176,945.60
  4. Step 4: Simplify right side
    7,978,176,945.60x = 89,258,362,317,772,783,616
  5. Step 5: Solve for x
    x = 89,258,362,317,772,783,616/7,978,176,945.60
  6. Step 6: Final answer
    x = 11,187,814,324.80

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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.