Finding the Fourth Proportional to 75,820,497,016.07, 104,635,574,920.68 and 41,987,792,125.08
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Solution
The fourth proportional to 75,820,497,016.07, 104,635,574,920.68 and 41,987,792,125.08 is: 57,944,974,532.76
Step by Step Solution
- Step 1: Write the proportion equation
75,820,497,016.07 : 104,635,574,920.68 = 41,987,792,125.08 : x - Step 2: Convert to fraction form
75,820,497,016.07/104,635,574,920.68 = 41,987,792,125.08/x - Step 3: Cross multiply
75,820,497,016.07x = 104,635,574,920.68 × 41,987,792,125.08 - Step 4: Simplify right side
75,820,497,016.07x = 4,393,416,768,657,745,772,544 - Step 5: Solve for x
x = 4,393,416,768,657,745,772,544/75,820,497,016.07 - Step 6: Final answer
x = 57,944,974,532.76
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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.