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Finding the Fourth Proportional to 301,522,022.80, 421,269,897.50 and 301,522,022.80

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Solution

The fourth proportional to 301,522,022.80, 421,269,897.50 and 301,522,022.80 is: 421,269,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,522,022.80 : 421,269,897.50 = 301,522,022.80 : x
  2. Step 2: Convert to fraction form
    301,522,022.80/421,269,897.50 = 301,522,022.80/x
  3. Step 3: Cross multiply
    301,522,022.80x = 421,269,897.50 × 301,522,022.80
  4. Step 4: Simplify right side
    301,522,022.80x = 127,022,151,638,948,672
  5. Step 5: Solve for x
    x = 127,022,151,638,948,672/301,522,022.80
  6. Step 6: Final answer
    x = 421,269,897.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.