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Finding the Fourth Proportional to 561,847,203.24, 775,343,429.31 and 310,952,082.21

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Solution

The fourth proportional to 561,847,203.24, 775,343,429.31 and 310,952,082.21 is: 429,110,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,847,203.24 : 775,343,429.31 = 310,952,082.21 : x
  2. Step 2: Convert to fraction form
    561,847,203.24/775,343,429.31 = 310,952,082.21/x
  3. Step 3: Cross multiply
    561,847,203.24x = 775,343,429.31 × 310,952,082.21
  4. Step 4: Simplify right side
    561,847,203.24x = 241,094,653,771,786,400
  5. Step 5: Solve for x
    x = 241,094,653,771,786,400/561,847,203.24
  6. Step 6: Final answer
    x = 429,110,712.63

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