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Finding the Fourth Proportional to 339,957,363.60, 509,936,045.40 and 265,980,776.40

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Solution

The fourth proportional to 339,957,363.60, 509,936,045.40 and 265,980,776.40 is: 398,971,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,957,363.60 : 509,936,045.40 = 265,980,776.40 : x
  2. Step 2: Convert to fraction form
    339,957,363.60/509,936,045.40 = 265,980,776.40/x
  3. Step 3: Cross multiply
    339,957,363.60x = 509,936,045.40 × 265,980,776.40
  4. Step 4: Simplify right side
    339,957,363.60x = 135,633,185,269,837,648
  5. Step 5: Solve for x
    x = 135,633,185,269,837,648/339,957,363.60
  6. Step 6: Final answer
    x = 398,971,164.60

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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.