Finding the Fourth Proportional to 22,628,514,744,100, 33,942,772,078,074 and 5,437,409,476,434
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Solution
The fourth proportional to 22,628,514,744,100, 33,942,772,078,074 and 5,437,409,476,434 is: 8,156,114,205,501.71
Step by Step Solution
- Step 1: Write the proportion equation
22,628,514,744,100 : 33,942,772,078,074 = 5,437,409,476,434 : x - Step 2: Convert to fraction form
22,628,514,744,100/33,942,772,078,074 = 5,437,409,476,434/x - Step 3: Cross multiply
22,628,514,744,100x = 33,942,772,078,074 × 5,437,409,476,434 - Step 4: Simplify right side
22,628,514,744,100x = 184,560,750,553,758,933,375,254,528 - Step 5: Solve for x
x = 184,560,750,553,758,933,375,254,528/22,628,514,744,100 - Step 6: Final answer
x = 8,156,114,205,501.71
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.