Finding the Fourth Proportional to 21,840,243,359,400, 30,128,109,132,254 and 13,504,065,309,998
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Solution
The fourth proportional to 21,840,243,359,400, 30,128,109,132,254 and 13,504,065,309,998 is: 18,628,544,869,835.29
Step by Step Solution
- Step 1: Write the proportion equation
21,840,243,359,400 : 30,128,109,132,254 = 13,504,065,309,998 : x - Step 2: Convert to fraction form
21,840,243,359,400/30,128,109,132,254 = 13,504,065,309,998/x - Step 3: Cross multiply
21,840,243,359,400x = 30,128,109,132,254 × 13,504,065,309,998 - Step 4: Simplify right side
21,840,243,359,400x = 406,851,953,388,705,215,309,414,400 - Step 5: Solve for x
x = 406,851,953,388,705,215,309,414,400/21,840,243,359,400 - Step 6: Final answer
x = 18,628,544,869,835.29
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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.