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Finding the Fourth Proportional to 822,425,172.16, 1,233,641,958 and 277,171,430.08

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Solution

The fourth proportional to 822,425,172.16, 1,233,641,958 and 277,171,430.08 is: 415,758,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,425,172.16 : 1,233,641,958 = 277,171,430.08 : x
  2. Step 2: Convert to fraction form
    822,425,172.16/1,233,641,958 = 277,171,430.08/x
  3. Step 3: Cross multiply
    822,425,172.16x = 1,233,641,958 × 277,171,430.08
  4. Step 4: Simplify right side
    822,425,172.16x = 341,930,305,705,551,296
  5. Step 5: Solve for x
    x = 341,930,305,705,551,296/822,425,172.16
  6. Step 6: Final answer
    x = 415,758,560.51

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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.