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Finding the Fourth Proportional to 268,078,861.02, 369,978,784.26 and 162,290,564.12

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Solution

The fourth proportional to 268,078,861.02, 369,978,784.26 and 162,290,564.12 is: 223,979,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,078,861.02 : 369,978,784.26 = 162,290,564.12 : x
  2. Step 2: Convert to fraction form
    268,078,861.02/369,978,784.26 = 162,290,564.12/x
  3. Step 3: Cross multiply
    268,078,861.02x = 369,978,784.26 × 162,290,564.12
  4. Step 4: Simplify right side
    268,078,861.02x = 60,044,065,609,987,176
  5. Step 5: Solve for x
    x = 60,044,065,609,987,176/268,078,861.02
  6. Step 6: Final answer
    x = 223,979,113.39

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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.