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Finding the Fourth Proportional to 1,322,824,679.62, 1,984,242,219 and 535,893,197.38

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Solution

The fourth proportional to 1,322,824,679.62, 1,984,242,219 and 535,893,197.38 is: 803,841,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,824,679.62 : 1,984,242,219 = 535,893,197.38 : x
  2. Step 2: Convert to fraction form
    1,322,824,679.62/1,984,242,219 = 535,893,197.38/x
  3. Step 3: Cross multiply
    1,322,824,679.62x = 1,984,242,219 × 535,893,197.38
  4. Step 4: Simplify right side
    1,322,824,679.62x = 1,063,341,907,116,296,192
  5. Step 5: Solve for x
    x = 1,063,341,907,116,296,192/1,322,824,679.62
  6. Step 6: Final answer
    x = 803,841,902.48

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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.