To naturally make white marble shine, you can follow these steps:

1. Clear the surface: Remove any dust, dirt, or debris from the surface of the marble using a soft brush or cloth. Make sure the marble is free from any loose particles.

2. Prepare a mixture: In a spray bottle, combine equal parts water and white vinegar. Vinegar is a natural cleaning agent that helps to remove stains and grime from marble surfaces.

3. Apply the solution: Spray the vinegar and water mixture onto the marble surface, ensuring it is evenly spread across the area you want to shine. Let the solution sit on the marble for a few minutes, allowing the vinegar to break down any stains or residue.

4. Gently scrub: Use a soft cloth or non-abrasive sponge to gently scrub the marble in circular motions. Be cautious not to apply excessive pressure, as marble can be scratched easily.

5. Wipe clean: After scrubbing, use a clean, damp cloth to wipe away the vinegar solution and any loosened dirt or stains from the marble. Rinse the cloth frequently to avoid redistributing the dirt back onto the surface.

6. Dry thoroughly: Ensure the marble is completely dry to prevent water spots or streaks from forming. Use a clean, dry cloth to wipe down the surface and remove any remaining moisture.

7. Polish with olive oil: Once the marble is dry, you can enhance its shine by applying a small amount of olive oil on a soft cloth. Gently rub the olive oil onto the marble in circular motions, buffing it to a shine. This step helps to bring out the natural luster of the marble.

Remember, it is important to test the vinegar solution and the olive oil on a small, inconspicuous area of the marble first to ensure it does not cause any damage or discoloration. Regular maintenance and proper care will help keep your white marble shiny and beautiful.