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Finding the Fourth Proportional to 214,876,673.10, 322,315,009.65 and 214,876,673.10

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Solution

The fourth proportional to 214,876,673.10, 322,315,009.65 and 214,876,673.10 is: 322,315,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,876,673.10 : 322,315,009.65 = 214,876,673.10 : x
  2. Step 2: Convert to fraction form
    214,876,673.10/322,315,009.65 = 214,876,673.10/x
  3. Step 3: Cross multiply
    214,876,673.10x = 322,315,009.65 × 214,876,673.10
  4. Step 4: Simplify right side
    214,876,673.10x = 69,257,976,963,786,392
  5. Step 5: Solve for x
    x = 69,257,976,963,786,392/214,876,673.10
  6. Step 6: Final answer
    x = 322,315,009.65

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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.