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Finding the Fourth Proportional to 452,275,404.20, 634,618,838.20 and 452,275,404.20

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Solution

The fourth proportional to 452,275,404.20, 634,618,838.20 and 452,275,404.20 is: 634,618,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,275,404.20 : 634,618,838.20 = 452,275,404.20 : x
  2. Step 2: Convert to fraction form
    452,275,404.20/634,618,838.20 = 452,275,404.20/x
  3. Step 3: Cross multiply
    452,275,404.20x = 634,618,838.20 × 452,275,404.20
  4. Step 4: Simplify right side
    452,275,404.20x = 287,022,491,559,839,424
  5. Step 5: Solve for x
    x = 287,022,491,559,839,424/452,275,404.20
  6. Step 6: Final answer
    x = 634,618,838.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.