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Finding the Fourth Proportional to 582,203,238.59, 803,434,375.76 and 317,884,412.40

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Solution

The fourth proportional to 582,203,238.59, 803,434,375.76 and 317,884,412.40 is: 438,677,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,203,238.59 : 803,434,375.76 = 317,884,412.40 : x
  2. Step 2: Convert to fraction form
    582,203,238.59/803,434,375.76 = 317,884,412.40/x
  3. Step 3: Cross multiply
    582,203,238.59x = 803,434,375.76 × 317,884,412.40
  4. Step 4: Simplify right side
    582,203,238.59x = 255,399,264,438,838,976
  5. Step 5: Solve for x
    x = 255,399,264,438,838,976/582,203,238.59
  6. Step 6: Final answer
    x = 438,677,162.05

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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.