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Finding the Fourth Proportional to 339,557,712.30, 509,336,568.45 and 339,557,712.30

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Solution

The fourth proportional to 339,557,712.30, 509,336,568.45 and 339,557,712.30 is: 509,336,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,557,712.30 : 509,336,568.45 = 339,557,712.30 : x
  2. Step 2: Convert to fraction form
    339,557,712.30/509,336,568.45 = 339,557,712.30/x
  3. Step 3: Cross multiply
    339,557,712.30x = 509,336,568.45 × 339,557,712.30
  4. Step 4: Simplify right side
    339,557,712.30x = 172,949,159,973,614,368
  5. Step 5: Solve for x
    x = 172,949,159,973,614,368/339,557,712.30
  6. Step 6: Final answer
    x = 509,336,568.45

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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.