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Finding the Fourth Proportional to 36,883,357.20, 51,712,282.80 and 36,883,357.20

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Solution

The fourth proportional to 36,883,357.20, 51,712,282.80 and 36,883,357.20 is: 51,712,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,883,357.20 : 51,712,282.80 = 36,883,357.20 : x
  2. Step 2: Convert to fraction form
    36,883,357.20/51,712,282.80 = 36,883,357.20/x
  3. Step 3: Cross multiply
    36,883,357.20x = 51,712,282.80 × 36,883,357.20
  4. Step 4: Simplify right side
    36,883,357.20x = 1,907,322,598,139,816.25
  5. Step 5: Solve for x
    x = 1,907,322,598,139,816.25/36,883,357.20
  6. Step 6: Final answer
    x = 51,712,282.80

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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.