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Finding the Fourth Proportional to 459,703,921.60, 689,891,805.60 and 323,655,025.60

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Solution

The fourth proportional to 459,703,921.60, 689,891,805.60 and 323,655,025.60 is: 485,719,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,703,921.60 : 689,891,805.60 = 323,655,025.60 : x
  2. Step 2: Convert to fraction form
    459,703,921.60/689,891,805.60 = 323,655,025.60/x
  3. Step 3: Cross multiply
    459,703,921.60x = 689,891,805.60 × 323,655,025.60
  4. Step 4: Simplify right side
    459,703,921.60x = 223,286,950,002,698,240
  5. Step 5: Solve for x
    x = 223,286,950,002,698,240/459,703,921.60
  6. Step 6: Final answer
    x = 485,719,045.48

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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.