Finding the Fourth Proportional to 7,946,364,574,383.40, 11,919,546,848,204 and 1,909,433,232,101.70
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Solution
The fourth proportional to 7,946,364,574,383.40, 11,919,546,848,204 and 1,909,433,232,101.70 is: 2,864,149,844,939.61
Step by Step Solution
- Step 1: Write the proportion equation
7,946,364,574,383.40 : 11,919,546,848,204 = 1,909,433,232,101.70 : x - Step 2: Convert to fraction form
7,946,364,574,383.40/11,919,546,848,204 = 1,909,433,232,101.70/x - Step 3: Cross multiply
7,946,364,574,383.40x = 11,919,546,848,204 × 1,909,433,232,101.70 - Step 4: Simplify right side
7,946,364,574,383.40x = 22,759,578,863,553,796,114,481,152 - Step 5: Solve for x
x = 22,759,578,863,553,796,114,481,152/7,946,364,574,383.40 - Step 6: Final answer
x = 2,864,149,844,939.61
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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.