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Finding the Fourth Proportional to 582,203,238.09, 803,434,375.06 and 317,884,411.90

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Solution

The fourth proportional to 582,203,238.09, 803,434,375.06 and 317,884,411.90 is: 438,677,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,203,238.09 : 803,434,375.06 = 317,884,411.90 : x
  2. Step 2: Convert to fraction form
    582,203,238.09/803,434,375.06 = 317,884,411.90/x
  3. Step 3: Cross multiply
    582,203,238.09x = 803,434,375.06 × 317,884,411.90
  4. Step 4: Simplify right side
    582,203,238.09x = 255,399,263,816,192,096
  5. Step 5: Solve for x
    x = 255,399,263,816,192,096/582,203,238.09
  6. Step 6: Final answer
    x = 438,677,161.35

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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.