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Finding the Fourth Proportional to 334,682,406.40, 502,023,609.60 and 334,682,406.40

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Solution

The fourth proportional to 334,682,406.40, 502,023,609.60 and 334,682,406.40 is: 502,023,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,682,406.40 : 502,023,609.60 = 334,682,406.40 : x
  2. Step 2: Convert to fraction form
    334,682,406.40/502,023,609.60 = 334,682,406.40/x
  3. Step 3: Cross multiply
    334,682,406.40x = 502,023,609.60 × 334,682,406.40
  4. Step 4: Simplify right side
    334,682,406.40x = 168,018,469,730,542,144
  5. Step 5: Solve for x
    x = 168,018,469,730,542,144/334,682,406.40
  6. Step 6: Final answer
    x = 502,023,609.60

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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.