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Finding the Fourth Proportional to 436,746,978,014.20, 655,120,467,021.30 and 436,746,978,014.20

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Solution

The fourth proportional to 436,746,978,014.20, 655,120,467,021.30 and 436,746,978,014.20 is: 655,120,467,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,746,978,014.20 : 655,120,467,021.30 = 436,746,978,014.20 : x
  2. Step 2: Convert to fraction form
    436,746,978,014.20/655,120,467,021.30 = 436,746,978,014.20/x
  3. Step 3: Cross multiply
    436,746,978,014.20x = 655,120,467,021.30 × 436,746,978,014.20
  4. Step 4: Simplify right side
    436,746,978,014.20x = 286,121,884,206,804,177,518,592
  5. Step 5: Solve for x
    x = 286,121,884,206,804,177,518,592/436,746,978,014.20
  6. Step 6: Final answer
    x = 655,120,467,021.30

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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.