Finding the Fourth Proportional to 10,104,101,643, 13,942,111,219.56 and 5,816,486,173.08
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Solution
The fourth proportional to 10,104,101,643, 13,942,111,219.56 and 5,816,486,173.08 is: 8,025,859,200.29
Step by Step Solution
- Step 1: Write the proportion equation
10,104,101,643 : 13,942,111,219.56 = 5,816,486,173.08 : x - Step 2: Convert to fraction form
10,104,101,643/13,942,111,219.56 = 5,816,486,173.08/x - Step 3: Cross multiply
10,104,101,643x = 13,942,111,219.56 × 5,816,486,173.08 - Step 4: Simplify right side
10,104,101,643x = 81,094,097,132,114,264,064 - Step 5: Solve for x
x = 81,094,097,132,114,264,064/10,104,101,643 - Step 6: Final answer
x = 8,025,859,200.29
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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.