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Finding the Fourth Proportional to 295,488,976.30, 443,233,464.45 and 295,488,976.30

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Solution

The fourth proportional to 295,488,976.30, 443,233,464.45 and 295,488,976.30 is: 443,233,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,488,976.30 : 443,233,464.45 = 295,488,976.30 : x
  2. Step 2: Convert to fraction form
    295,488,976.30/443,233,464.45 = 295,488,976.30/x
  3. Step 3: Cross multiply
    295,488,976.30x = 443,233,464.45 × 295,488,976.30
  4. Step 4: Simplify right side
    295,488,976.30x = 130,970,602,672,232,944
  5. Step 5: Solve for x
    x = 130,970,602,672,232,944/295,488,976.30
  6. Step 6: Final answer
    x = 443,233,464.45

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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.