Finding the Fourth Proportional to 1,222,138,976,864.20, 1,686,640,927,309.40 and 708,437,392,413.70
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Solution
The fourth proportional to 1,222,138,976,864.20, 1,686,640,927,309.40 and 708,437,392,413.70 is: 977,695,272,878.99
Step by Step Solution
- Step 1: Write the proportion equation
1,222,138,976,864.20 : 1,686,640,927,309.40 = 708,437,392,413.70 : x - Step 2: Convert to fraction form
1,222,138,976,864.20/1,686,640,927,309.40 = 708,437,392,413.70/x - Step 3: Cross multiply
1,222,138,976,864.20x = 1,686,640,927,309.40 × 708,437,392,413.70 - Step 4: Simplify right side
1,222,138,976,864.20x = 1,194,879,500,481,296,144,007,168 - Step 5: Solve for x
x = 1,194,879,500,481,296,144,007,168/1,222,138,976,864.20 - Step 6: Final answer
x = 977,695,272,878.99
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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.