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Finding the Fourth Proportional to 65,508,909,419,352, 90,405,136,728,000 and 36,277,452,393,562

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Solution

The fourth proportional to 65,508,909,419,352, 90,405,136,728,000 and 36,277,452,393,562 is: 50,064,457,992,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,508,909,419,352 : 90,405,136,728,000 = 36,277,452,393,562 : x
  2. Step 2: Convert to fraction form
    65,508,909,419,352/90,405,136,728,000 = 36,277,452,393,562/x
  3. Step 3: Cross multiply
    65,508,909,419,352x = 90,405,136,728,000 × 36,277,452,393,562
  4. Step 4: Simplify right side
    65,508,909,419,352x = 3,279,668,043,783,483,745,632,256,000
  5. Step 5: Solve for x
    x = 3,279,668,043,783,483,745,632,256,000/65,508,909,419,352
  6. Step 6: Final answer
    x = 50,064,457,992,864.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.