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Finding the Fourth Proportional to 263,603,971.64, 363,773,472.99 and 146,129,004.20

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Solution

The fourth proportional to 263,603,971.64, 363,773,472.99 and 146,129,004.20 is: 201,658,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,603,971.64 : 363,773,472.99 = 146,129,004.20 : x
  2. Step 2: Convert to fraction form
    263,603,971.64/363,773,472.99 = 146,129,004.20/x
  3. Step 3: Cross multiply
    263,603,971.64x = 363,773,472.99 × 146,129,004.20
  4. Step 4: Simplify right side
    263,603,971.64x = 53,157,855,362,404,296
  5. Step 5: Solve for x
    x = 53,157,855,362,404,296/263,603,971.64
  6. Step 6: Final answer
    x = 201,658,021.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.