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Finding the Fourth Proportional to 436,746,978,004.95, 655,120,467,007.43 and 436,746,978,004.95

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Solution

The fourth proportional to 436,746,978,004.95, 655,120,467,007.43 and 436,746,978,004.95 is: 655,120,467,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,746,978,004.95 : 655,120,467,007.43 = 436,746,978,004.95 : x
  2. Step 2: Convert to fraction form
    436,746,978,004.95/655,120,467,007.43 = 436,746,978,004.95/x
  3. Step 3: Cross multiply
    436,746,978,004.95x = 655,120,467,007.43 × 436,746,978,004.95
  4. Step 4: Simplify right side
    436,746,978,004.95x = 286,121,884,194,686,631,936,000
  5. Step 5: Solve for x
    x = 286,121,884,194,686,631,936,000/436,746,978,004.95
  6. Step 6: Final answer
    x = 655,120,467,007.43

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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.