Finding the Fourth Proportional to 948,627,823,664.94, 1,309,106,396,657.70 and 542,635,364,973.54
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Solution
The fourth proportional to 948,627,823,664.94, 1,309,106,396,657.70 and 542,635,364,973.54 is: 748,836,803,663.53
Step by Step Solution
- Step 1: Write the proportion equation
948,627,823,664.94 : 1,309,106,396,657.70 = 542,635,364,973.54 : x - Step 2: Convert to fraction form
948,627,823,664.94/1,309,106,396,657.70 = 542,635,364,973.54/x - Step 3: Cross multiply
948,627,823,664.94x = 1,309,106,396,657.70 × 542,635,364,973.54 - Step 4: Simplify right side
948,627,823,664.94x = 710,367,427,339,546,840,268,800 - Step 5: Solve for x
x = 710,367,427,339,546,840,268,800/948,627,823,664.94 - Step 6: Final answer
x = 748,836,803,663.53
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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.