C++ Eigen::Vector3f a * 0.01 is not the same as a / 100.0

This is very weird, but take a look at the following tests:
  point_cloud::Point point;
  point.set_x(19502);
  point.set_y(-12092.632);
  point.set_z(259.90189);

  Eigen::Vector3f point_meter =
      Eigen::Vector3f(point.x() * 0.01, point.y() * 0.01, point.z() * 0.01);
  Eigen::Vector3f point_centimeter = Eigen::Vector3f(
      point_meter.x() * 100, point_meter.y() * 100, point_meter.z() * 100);
  EXPECT_EQ(point.x(), point_centimeter.x());
  EXPECT_EQ(point.y(), point_centimeter.y());
  EXPECT_EQ(point.z(), point_centimeter.z());

  Eigen::Vector3f from_proto = Eigen::Vector3f(point.x(), point.y(), point.z());
  EXPECT_EQ(point.x(), from_proto.x());
  EXPECT_EQ(point.y(), from_proto.y());
  EXPECT_EQ(point.z(), from_proto.z());

  point_meter = from_proto * 0.01;
  point_centimeter = point_meter * 100;
  EXPECT_EQ(point.x(), point_centimeter.x());  // Failed. WHY??
  EXPECT_EQ(point.y(), point_centimeter.y());
  EXPECT_EQ(point.z(), point_centimeter.z());


If I used from_proto / 100, then the test works.