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Finding the Fourth Proportional to 315,187,509.92, 472,965,498.34 and 227,662,720.16

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Solution

The fourth proportional to 315,187,509.92, 472,965,498.34 and 227,662,720.16 is: 341,627,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,187,509.92 : 472,965,498.34 = 227,662,720.16 : x
  2. Step 2: Convert to fraction form
    315,187,509.92/472,965,498.34 = 227,662,720.16/x
  3. Step 3: Cross multiply
    315,187,509.92x = 472,965,498.34 × 227,662,720.16
  4. Step 4: Simplify right side
    315,187,509.92x = 107,676,611,893,914,352
  5. Step 5: Solve for x
    x = 107,676,611,893,914,352/315,187,509.92
  6. Step 6: Final answer
    x = 341,627,153.69

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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.