Finding the Fourth Proportional to 6,794,958,825,201.40, 9,379,277,834,048.80 and 5,408,582,998,802
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Solution
The fourth proportional to 6,794,958,825,201.40, 9,379,277,834,048.80 and 5,408,582,998,802 is: 7,465,623,256,778.63
Step by Step Solution
- Step 1: Write the proportion equation
6,794,958,825,201.40 : 9,379,277,834,048.80 = 5,408,582,998,802 : x - Step 2: Convert to fraction form
6,794,958,825,201.40/9,379,277,834,048.80 = 5,408,582,998,802/x - Step 3: Cross multiply
6,794,958,825,201.40x = 9,379,277,834,048.80 × 5,408,582,998,802 - Step 4: Simplify right side
6,794,958,825,201.40x = 50,728,602,634,276,792,426,299,392 - Step 5: Solve for x
x = 50,728,602,634,276,792,426,299,392/6,794,958,825,201.40 - Step 6: Final answer
x = 7,465,623,256,778.63
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1.5x scale
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.