To estimate how many times Earth's population can fit into our solar system, we need to define what we mean by "fitting" and make certain assumptions. Let's consider the volume of the solar system as the region enclosed by the orbit of Neptune, the outermost planet in our solar system.
The population of Earth is approximately 7.9 billion people. To calculate how many times this population can fit into the solar system, we need to compare the volume of the solar system with the volume occupied by each person.
Assuming each person occupies a volume similar to a sphere with a radius of 0.5 meters (an estimate of personal space), we can calculate the volume occupied by each person as follows:
Volume per person = (4/3) * π * (0.5 meters)^3
Now, let's calculate the volume of the solar system. The average distance between the Sun and Neptune is roughly 4.5 billion kilometers (2.8 billion miles), so we'll consider a spherical region with this radius.
Volume of the solar system = (4/3) * π * (4.5 billion kilometers)^3
To find how many times Earth's population can fit into the solar system, we divide the volume of the solar system by the volume per person:
Number of times Earth's population can fit = Volume of the solar system / Volume per person
Please note that this calculation is a rough approximation, as it assumes uniform distribution and spherical shapes for both people and the solar system.
Performing the calculations, the result is approximately 4.6 x 10^32 times. This means that you could hypothetically fit Earth's population around 46 followed by 30 zeros times into the volume of the solar system up to the orbit of Neptune.
Keep in mind that this calculation does not take into account habitable or usable space within the solar system or the practical limitations of population distribution. It's purely a mathematical exercise to provide a sense of scale.