Finding the Fourth Proportional to 2,208,564,399,805, 3,313,177,845,557.80 and 775,719,747,654.60
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Solution
The fourth proportional to 2,208,564,399,805, 3,313,177,845,557.80 and 775,719,747,654.60 is: 1,163,695,965,812.83
Step by Step Solution
- Step 1: Write the proportion equation
2,208,564,399,805 : 3,313,177,845,557.80 = 775,719,747,654.60 : x - Step 2: Convert to fraction form
2,208,564,399,805/3,313,177,845,557.80 = 775,719,747,654.60/x - Step 3: Cross multiply
2,208,564,399,805x = 3,313,177,845,557.80 × 775,719,747,654.60 - Step 4: Simplify right side
2,208,564,399,805x = 2,570,097,482,290,907,850,997,760 - Step 5: Solve for x
x = 2,570,097,482,290,907,850,997,760/2,208,564,399,805 - Step 6: Final answer
x = 1,163,695,965,812.83
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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.