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Finding the Fourth Proportional to 360,751,012.30, 541,126,518.45 and 360,751,012.30

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Solution

The fourth proportional to 360,751,012.30, 541,126,518.45 and 360,751,012.30 is: 541,126,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,751,012.30 : 541,126,518.45 = 360,751,012.30 : x
  2. Step 2: Convert to fraction form
    360,751,012.30/541,126,518.45 = 360,751,012.30/x
  3. Step 3: Cross multiply
    360,751,012.30x = 541,126,518.45 × 360,751,012.30
  4. Step 4: Simplify right side
    360,751,012.30x = 195,211,939,313,212,160
  5. Step 5: Solve for x
    x = 195,211,939,313,212,160/360,751,012.30
  6. Step 6: Final answer
    x = 541,126,518.45

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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.