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Finding the Fourth Proportional to 488,713,251,231.45, 733,069,876,847.20 and 488,713,251,231.45

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Solution

The fourth proportional to 488,713,251,231.45, 733,069,876,847.20 and 488,713,251,231.45 is: 733,069,876,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,713,251,231.45 : 733,069,876,847.20 = 488,713,251,231.45 : x
  2. Step 2: Convert to fraction form
    488,713,251,231.45/733,069,876,847.20 = 488,713,251,231.45/x
  3. Step 3: Cross multiply
    488,713,251,231.45x = 733,069,876,847.20 × 488,713,251,231.45
  4. Step 4: Simplify right side
    488,713,251,231.45x = 358,260,962,893,833,776,922,624
  5. Step 5: Solve for x
    x = 358,260,962,893,833,776,922,624/488,713,251,231.45
  6. Step 6: Final answer
    x = 733,069,876,847.20

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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.