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Finding the Fourth Proportional to 452,275,402.20, 634,618,835.40 and 452,275,402.20

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Solution

The fourth proportional to 452,275,402.20, 634,618,835.40 and 452,275,402.20 is: 634,618,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,275,402.20 : 634,618,835.40 = 452,275,402.20 : x
  2. Step 2: Convert to fraction form
    452,275,402.20/634,618,835.40 = 452,275,402.20/x
  3. Step 3: Cross multiply
    452,275,402.20x = 634,618,835.40 × 452,275,402.20
  4. Step 4: Simplify right side
    452,275,402.20x = 287,022,489,024,230,592
  5. Step 5: Solve for x
    x = 287,022,489,024,230,592/452,275,402.20
  6. Step 6: Final answer
    x = 634,618,835.40

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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.