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Finding the Fourth Proportional to 180,367,071.05, 270,550,606.58 and 180,367,071.05

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Solution

The fourth proportional to 180,367,071.05, 270,550,606.58 and 180,367,071.05 is: 270,550,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,367,071.05 : 270,550,606.58 = 180,367,071.05 : x
  2. Step 2: Convert to fraction form
    180,367,071.05/270,550,606.58 = 180,367,071.05/x
  3. Step 3: Cross multiply
    180,367,071.05x = 270,550,606.58 × 180,367,071.05
  4. Step 4: Simplify right side
    180,367,071.05x = 48,798,420,479,635,456
  5. Step 5: Solve for x
    x = 48,798,420,479,635,456/180,367,071.05
  6. Step 6: Final answer
    x = 270,550,606.58

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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.