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Finding the Fourth Proportional to 412,558,468.80, 569,411,560.80 and 236,464,490.40

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Solution

The fourth proportional to 412,558,468.80, 569,411,560.80 and 236,464,490.40 is: 326,367,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,558,468.80 : 569,411,560.80 = 236,464,490.40 : x
  2. Step 2: Convert to fraction form
    412,558,468.80/569,411,560.80 = 236,464,490.40/x
  3. Step 3: Cross multiply
    412,558,468.80x = 569,411,560.80 × 236,464,490.40
  4. Step 4: Simplify right side
    412,558,468.80x = 134,645,614,552,440,608
  5. Step 5: Solve for x
    x = 134,645,614,552,440,608/412,558,468.80
  6. Step 6: Final answer
    x = 326,367,350.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.