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Finding the Fourth Proportional to 559,653,494.67, 839,587,841.19 and 214,580,207.43

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Solution

The fourth proportional to 559,653,494.67, 839,587,841.19 and 214,580,207.43 is: 321,911,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,653,494.67 : 839,587,841.19 = 214,580,207.43 : x
  2. Step 2: Convert to fraction form
    559,653,494.67/839,587,841.19 = 214,580,207.43/x
  3. Step 3: Cross multiply
    559,653,494.67x = 839,587,841.19 × 214,580,207.43
  4. Step 4: Simplify right side
    559,653,494.67x = 180,158,933,118,256,128
  5. Step 5: Solve for x
    x = 180,158,933,118,256,128/559,653,494.67
  6. Step 6: Final answer
    x = 321,911,566.41

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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.