Finding the Fourth Proportional to 7,643,588,912,153.80, 10,548,152,295,367 and 4,127,887,647,642.20
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Solution
The fourth proportional to 7,643,588,912,153.80, 10,548,152,295,367 and 4,127,887,647,642.20 is: 5,696,484,735,888.95
Step by Step Solution
- Step 1: Write the proportion equation
7,643,588,912,153.80 : 10,548,152,295,367 = 4,127,887,647,642.20 : x - Step 2: Convert to fraction form
7,643,588,912,153.80/10,548,152,295,367 = 4,127,887,647,642.20/x - Step 3: Cross multiply
7,643,588,912,153.80x = 10,548,152,295,367 × 4,127,887,647,642.20 - Step 4: Simplify right side
7,643,588,912,153.80x = 43,541,587,565,494,161,765,302,272 - Step 5: Solve for x
x = 43,541,587,565,494,161,765,302,272/7,643,588,912,153.80 - Step 6: Final answer
x = 5,696,484,735,888.95
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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.