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Finding the Fourth Proportional to 463,645,367.60, 695,468,051.40 and 327,596,471.60

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Solution

The fourth proportional to 463,645,367.60, 695,468,051.40 and 327,596,471.60 is: 491,394,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,645,367.60 : 695,468,051.40 = 327,596,471.60 : x
  2. Step 2: Convert to fraction form
    463,645,367.60/695,468,051.40 = 327,596,471.60/x
  3. Step 3: Cross multiply
    463,645,367.60x = 695,468,051.40 × 327,596,471.60
  4. Step 4: Simplify right side
    463,645,367.60x = 227,832,879,749,167,456
  5. Step 5: Solve for x
    x = 227,832,879,749,167,456/463,645,367.60
  6. Step 6: Final answer
    x = 491,394,707.40

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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.