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Finding the Fourth Proportional to 364,438,216.20, 546,657,324.30 and 364,438,216.20

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Solution

The fourth proportional to 364,438,216.20, 546,657,324.30 and 364,438,216.20 is: 546,657,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,438,216.20 : 546,657,324.30 = 364,438,216.20 : x
  2. Step 2: Convert to fraction form
    364,438,216.20/546,657,324.30 = 364,438,216.20/x
  3. Step 3: Cross multiply
    364,438,216.20x = 546,657,324.30 × 364,438,216.20
  4. Step 4: Simplify right side
    364,438,216.20x = 199,222,820,140,556,896
  5. Step 5: Solve for x
    x = 199,222,820,140,556,896/364,438,216.20
  6. Step 6: Final answer
    x = 546,657,324.30

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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.