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Finding the Fourth Proportional to 65,193,210,004.73, 97,789,815,007.09 and 65,193,210,004.73

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Solution

The fourth proportional to 65,193,210,004.73, 97,789,815,007.09 and 65,193,210,004.73 is: 97,789,815,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193,210,004.73 : 97,789,815,007.09 = 65,193,210,004.73 : x
  2. Step 2: Convert to fraction form
    65,193,210,004.73/97,789,815,007.09 = 65,193,210,004.73/x
  3. Step 3: Cross multiply
    65,193,210,004.73x = 97,789,815,007.09 × 65,193,210,004.73
  4. Step 4: Simplify right side
    65,193,210,004.73x = 6,375,231,946,080,100,810,752
  5. Step 5: Solve for x
    x = 6,375,231,946,080,100,810,752/65,193,210,004.73
  6. Step 6: Final answer
    x = 97,789,815,007.09

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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.