Finding the Fourth Proportional to 59,885,822,682,008, 82,642,372,623,312 and 33,547,990,714,762
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Solution
The fourth proportional to 59,885,822,682,008, 82,642,372,623,312 and 33,547,990,714,762 is: 46,296,192,074,284.27
Step by Step Solution
- Step 1: Write the proportion equation
59,885,822,682,008 : 82,642,372,623,312 = 33,547,990,714,762 : x - Step 2: Convert to fraction form
59,885,822,682,008/82,642,372,623,312 = 33,547,990,714,762/x - Step 3: Cross multiply
59,885,822,682,008x = 82,642,372,623,312 × 33,547,990,714,762 - Step 4: Simplify right side
59,885,822,682,008x = 2,772,485,549,412,772,367,155,855,360 - Step 5: Solve for x
x = 2,772,485,549,412,772,367,155,855,360/59,885,822,682,008 - Step 6: Final answer
x = 46,296,192,074,284.27
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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.