Finding the Fourth Proportional to 12,643,249,611,519, 17,447,684,462,204 and 7,162,351,419,197
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Solution
The fourth proportional to 12,643,249,611,519, 17,447,684,462,204 and 7,162,351,419,197 is: 9,884,044,957,533.23
Step by Step Solution
- Step 1: Write the proportion equation
12,643,249,611,519 : 17,447,684,462,204 = 7,162,351,419,197 : x - Step 2: Convert to fraction form
12,643,249,611,519/17,447,684,462,204 = 7,162,351,419,197/x - Step 3: Cross multiply
12,643,249,611,519x = 17,447,684,462,204 × 7,162,351,419,197 - Step 4: Simplify right side
12,643,249,611,519x = 124,966,447,569,568,268,992,643,072 - Step 5: Solve for x
x = 124,966,447,569,568,268,992,643,072/12,643,249,611,519 - Step 6: Final answer
x = 9,884,044,957,533.23
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.