Finding the Fourth Proportional to 214,586,592,387.71, 296,135,814,227.31 and 118,248,884,577.76
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Solution
The fourth proportional to 214,586,592,387.71, 296,135,814,227.31 and 118,248,884,577.76 is: 163,186,941,580.38
Step by Step Solution
- Step 1: Write the proportion equation
214,586,592,387.71 : 296,135,814,227.31 = 118,248,884,577.76 : x - Step 2: Convert to fraction form
214,586,592,387.71/296,135,814,227.31 = 118,248,884,577.76/x - Step 3: Cross multiply
214,586,592,387.71x = 296,135,814,227.31 × 118,248,884,577.76 - Step 4: Simplify right side
214,586,592,387.71x = 35,017,729,715,906,157,740,032 - Step 5: Solve for x
x = 35,017,729,715,906,157,740,032/214,586,592,387.71 - Step 6: Final answer
x = 163,186,941,580.38
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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.