Finding the Fourth Proportional to 1,771,155,146,529.80, 2,656,732,719,794.80 and 816,091,896,609.80
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Solution
The fourth proportional to 1,771,155,146,529.80, 2,656,732,719,794.80 and 816,091,896,609.80 is: 1,224,137,844,914.75
Step by Step Solution
- Step 1: Write the proportion equation
1,771,155,146,529.80 : 2,656,732,719,794.80 = 816,091,896,609.80 : x - Step 2: Convert to fraction form
1,771,155,146,529.80/2,656,732,719,794.80 = 816,091,896,609.80/x - Step 3: Cross multiply
1,771,155,146,529.80x = 2,656,732,719,794.80 × 816,091,896,609.80 - Step 4: Simplify right side
1,771,155,146,529.80x = 2,168,138,044,082,650,588,643,328 - Step 5: Solve for x
x = 2,168,138,044,082,650,588,643,328/1,771,155,146,529.80 - Step 6: Final answer
x = 1,224,137,844,914.75
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.