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Finding the Fourth Proportional to 334,682,443.90, 502,023,665.85 and 334,682,443.90

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Solution

The fourth proportional to 334,682,443.90, 502,023,665.85 and 334,682,443.90 is: 502,023,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,682,443.90 : 502,023,665.85 = 334,682,443.90 : x
  2. Step 2: Convert to fraction form
    334,682,443.90/502,023,665.85 = 334,682,443.90/x
  3. Step 3: Cross multiply
    334,682,443.90x = 502,023,665.85 × 334,682,443.90
  4. Step 4: Simplify right side
    334,682,443.90x = 168,018,507,382,314,976
  5. Step 5: Solve for x
    x = 168,018,507,382,314,976/334,682,443.90
  6. Step 6: Final answer
    x = 502,023,665.85

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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.