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Finding the Fourth Proportional to 214,867,493.90, 322,300,838.82 and 67,326,348.90

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Solution

The fourth proportional to 214,867,493.90, 322,300,838.82 and 67,326,348.90 is: 100,989,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,867,493.90 : 322,300,838.82 = 67,326,348.90 : x
  2. Step 2: Convert to fraction form
    214,867,493.90/322,300,838.82 = 67,326,348.90/x
  3. Step 3: Cross multiply
    214,867,493.90x = 322,300,838.82 × 67,326,348.90
  4. Step 4: Simplify right side
    214,867,493.90x = 21,699,338,725,157,984
  5. Step 5: Solve for x
    x = 21,699,338,725,157,984/214,867,493.90
  6. Step 6: Final answer
    x = 100,989,397.38

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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.