Finding the Fourth Proportional to 75,820,497,036.66, 104,635,574,949.12 and 41,987,792,145.75
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Solution
The fourth proportional to 75,820,497,036.66, 104,635,574,949.12 and 41,987,792,145.75 is: 57,944,974,561.30
Step by Step Solution
- Step 1: Write the proportion equation
75,820,497,036.66 : 104,635,574,949.12 = 41,987,792,145.75 : x - Step 2: Convert to fraction form
75,820,497,036.66/104,635,574,949.12 = 41,987,792,145.75/x - Step 3: Cross multiply
75,820,497,036.66x = 104,635,574,949.12 × 41,987,792,145.75 - Step 4: Simplify right side
75,820,497,036.66x = 4,393,416,772,014,695,776,256 - Step 5: Solve for x
x = 4,393,416,772,014,695,776,256/75,820,497,036.66 - Step 6: Final answer
x = 57,944,974,561.30
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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.