能帮我详细解答这道题吗?---**Extracted Content:**
**Question Stem:**
曾经有一家餐馆,店号“天然居”,里面有一副著名对联:客上天然居,居然天上客。巧得很,这副对联恰好能构成一个乘法算式:_______。“天然居”表示成三位数是______。
**Mathematical Layout Description:**
A vertical multiplication problem is shown below the text.
The top row represents the multiplicand, a five-digit number formed by the characters 客 上 天 然 居, labeled with place values 万 (ten thousand), 千 (thousand), 百 (hundred), 十 (ten), 个 (unit) from left to right.
The second row shows the multiplier, which is the digit 4, aligned under the units place of the multiplicand.
A multiplication symbol (x) is to the left of the multiplier.
A horizontal line separates the multiplicand and multiplier from the product.
The bottom row represents the product, a five-digit number formed by the characters 居 然 天 上 客, aligned below the horizontal line by place value.
The implied mathematical equation is:
(客 上 天 然 居) × 4 = (居 然 天 上 客)
where each character represents a unique digit from 0 to 9.
**Derived Information (Solution based on the puzzle):**
Solving the cryptarithmetic puzzle (客 上 天 然 居) × 4 = (居 然 天 上 客) reveals the mapping:
客 = 2
上 = 1
天 = 9
然 = 7
居 = 8
The question asks for the three-digit number represented by "天然居". Based on the derived mapping:
天 = 9
然 = 7
居 = 8
The three-digit number is formed by these digits in the order 天然居, which is 978.