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Finding the Fourth Proportional to 465,472,590,129.78, 698,208,885,194.67 and 465,472,590,129.78

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Solution

The fourth proportional to 465,472,590,129.78, 698,208,885,194.67 and 465,472,590,129.78 is: 698,208,885,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,472,590,129.78 : 698,208,885,194.67 = 465,472,590,129.78 : x
  2. Step 2: Convert to fraction form
    465,472,590,129.78/698,208,885,194.67 = 465,472,590,129.78/x
  3. Step 3: Cross multiply
    465,472,590,129.78x = 698,208,885,194.67 × 465,472,590,129.78
  4. Step 4: Simplify right side
    465,472,590,129.78x = 324,997,098,243,189,320,450,048
  5. Step 5: Solve for x
    x = 324,997,098,243,189,320,450,048/465,472,590,129.78
  6. Step 6: Final answer
    x = 698,208,885,194.67

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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.