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Finding the Fourth Proportional to 382,648,752.20, 536,728,619.80 and 382,648,752.20

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Solution

The fourth proportional to 382,648,752.20, 536,728,619.80 and 382,648,752.20 is: 536,728,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,648,752.20 : 536,728,619.80 = 382,648,752.20 : x
  2. Step 2: Convert to fraction form
    382,648,752.20/536,728,619.80 = 382,648,752.20/x
  3. Step 3: Cross multiply
    382,648,752.20x = 536,728,619.80 × 382,648,752.20
  4. Step 4: Simplify right side
    382,648,752.20x = 205,378,536,636,498,208
  5. Step 5: Solve for x
    x = 205,378,536,636,498,208/382,648,752.20
  6. Step 6: Final answer
    x = 536,728,619.80

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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.