Finding the Fourth Proportional to 841,633,623,649.80, 1,262,322,878,382.60 and 229,060,919,009.42
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Solution
The fourth proportional to 841,633,623,649.80, 1,262,322,878,382.60 and 229,060,919,009.42 is: 343,556,662,286.16
Step by Step Solution
- Step 1: Write the proportion equation
841,633,623,649.80 : 1,262,322,878,382.60 = 229,060,919,009.42 : x - Step 2: Convert to fraction form
841,633,623,649.80/1,262,322,878,382.60 = 229,060,919,009.42/x - Step 3: Cross multiply
841,633,623,649.80x = 1,262,322,878,382.60 × 229,060,919,009.42 - Step 4: Simplify right side
841,633,623,649.80x = 289,148,838,608,934,721,814,528 - Step 5: Solve for x
x = 289,148,838,608,934,721,814,528/841,633,623,649.80 - Step 6: Final answer
x = 343,556,662,286.16
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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.