Finding the Fourth Proportional to 1,094,483,922,421.70, 1,641,999,331,137 and 772,415,579,659.10
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Solution
The fourth proportional to 1,094,483,922,421.70, 1,641,999,331,137 and 772,415,579,659.10 is: 1,158,816,350,955.38
Step by Step Solution
- Step 1: Write the proportion equation
1,094,483,922,421.70 : 1,641,999,331,137 = 772,415,579,659.10 : x - Step 2: Convert to fraction form
1,094,483,922,421.70/1,641,999,331,137 = 772,415,579,659.10/x - Step 3: Cross multiply
1,094,483,922,421.70x = 1,641,999,331,137 × 772,415,579,659.10 - Step 4: Simplify right side
1,094,483,922,421.70x = 1,268,305,865,160,040,390,852,608 - Step 5: Solve for x
x = 1,268,305,865,160,040,390,852,608/1,094,483,922,421.70 - Step 6: Final answer
x = 1,158,816,350,955.38
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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.