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a photocopier enlarges by a ratio of 7:4.A picture measures

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a photocopier enlarges by a ratio of 7:4.A picture measures 6cm by 4 cm.How many consecutive enlargements can be made so that the largest possible picture will fit on a sheet measuring 30 cm by 20 cm?
一台影印机放大的比例是7比4.
一张图片尺寸是6cm长4cm宽.
请问可以连续放大多少次,使得放到最大后的图片能够印到一张长为30cm宽为20cm的纸上?
放大n次,使得放大后的长和宽均小于等于纸张的长和宽.
所以 6*(7/4)^n