Finding the Fourth Proportional to 6,209,941,092.91, 8,570,470,194.08 and 3,534,371,824.75
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Solution
The fourth proportional to 6,209,941,092.91, 8,570,470,194.08 and 3,534,371,824.75 is: 4,877,860,824.38
Step by Step Solution
- Step 1: Write the proportion equation
6,209,941,092.91 : 8,570,470,194.08 = 3,534,371,824.75 : x - Step 2: Convert to fraction form
6,209,941,092.91/8,570,470,194.08 = 3,534,371,824.75/x - Step 3: Cross multiply
6,209,941,092.91x = 8,570,470,194.08 × 3,534,371,824.75 - Step 4: Simplify right side
6,209,941,092.91x = 30,291,228,378,816,016,384 - Step 5: Solve for x
x = 30,291,228,378,816,016,384/6,209,941,092.91 - Step 6: Final answer
x = 4,877,860,824.38
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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.