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Finding the Fourth Proportional to 894,835,681.82, 1,342,170,705 and 422,026,313.08

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Solution

The fourth proportional to 894,835,681.82, 1,342,170,705 and 422,026,313.08 is: 633,000,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,835,681.82 : 1,342,170,705 = 422,026,313.08 : x
  2. Step 2: Convert to fraction form
    894,835,681.82/1,342,170,705 = 422,026,313.08/x
  3. Step 3: Cross multiply
    894,835,681.82x = 1,342,170,705 × 422,026,313.08
  4. Step 4: Simplify right side
    894,835,681.82x = 566,431,354,155,134,272
  5. Step 5: Solve for x
    x = 566,431,354,155,134,272/894,835,681.82
  6. Step 6: Final answer
    x = 633,000,410.76

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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.