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Finding the Fourth Proportional to 209,953,782.80, 314,930,674.20 and 181,232,349.20

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Solution

The fourth proportional to 209,953,782.80, 314,930,674.20 and 181,232,349.20 is: 271,848,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,782.80 : 314,930,674.20 = 181,232,349.20 : x
  2. Step 2: Convert to fraction form
    209,953,782.80/314,930,674.20 = 181,232,349.20/x
  3. Step 3: Cross multiply
    209,953,782.80x = 314,930,674.20 × 181,232,349.20
  4. Step 4: Simplify right side
    209,953,782.80x = 57,075,625,920,405,824
  5. Step 5: Solve for x
    x = 57,075,625,920,405,824/209,953,782.80
  6. Step 6: Final answer
    x = 271,848,523.80

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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.