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Finding the Fourth Proportional to 647,944,986.64, 894,163,502.28 and 365,746,829.44

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Solution

The fourth proportional to 647,944,986.64, 894,163,502.28 and 365,746,829.44 is: 504,730,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,944,986.64 : 894,163,502.28 = 365,746,829.44 : x
  2. Step 2: Convert to fraction form
    647,944,986.64/894,163,502.28 = 365,746,829.44/x
  3. Step 3: Cross multiply
    647,944,986.64x = 894,163,502.28 × 365,746,829.44
  4. Step 4: Simplify right side
    647,944,986.64x = 327,037,465,959,876,224
  5. Step 5: Solve for x
    x = 327,037,465,959,876,224/647,944,986.64
  6. Step 6: Final answer
    x = 504,730,297.64

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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.