Finding the Fourth Proportional to 1,295,463,966,901.40, 1,787,796,470,630.10 and 717,400,485,678.70
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Solution
The fourth proportional to 1,295,463,966,901.40, 1,787,796,470,630.10 and 717,400,485,678.70 is: 990,043,790,559.80
Step by Step Solution
- Step 1: Write the proportion equation
1,295,463,966,901.40 : 1,787,796,470,630.10 = 717,400,485,678.70 : x - Step 2: Convert to fraction form
1,295,463,966,901.40/1,787,796,470,630.10 = 717,400,485,678.70/x - Step 3: Cross multiply
1,295,463,966,901.40x = 1,787,796,470,630.10 × 717,400,485,678.70 - Step 4: Simplify right side
1,295,463,966,901.40x = 1,282,566,056,324,699,531,509,760 - Step 5: Solve for x
x = 1,282,566,056,324,699,531,509,760/1,295,463,966,901.40 - Step 6: Final answer
x = 990,043,790,559.80
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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.