Finding the Fourth Proportional to 70,268,727,673.44, 96,970,844,189.36 and 40,195,212,214.82
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Solution
The fourth proportional to 70,268,727,673.44, 96,970,844,189.36 and 40,195,212,214.82 is: 55,469,392,856.45
Step by Step Solution
- Step 1: Write the proportion equation
70,268,727,673.44 : 96,970,844,189.36 = 40,195,212,214.82 : x - Step 2: Convert to fraction form
70,268,727,673.44/96,970,844,189.36 = 40,195,212,214.82/x - Step 3: Cross multiply
70,268,727,673.44x = 96,970,844,189.36 × 40,195,212,214.82 - Step 4: Simplify right side
70,268,727,673.44x = 3,897,763,660,840,884,502,528 - Step 5: Solve for x
x = 3,897,763,660,840,884,502,528/70,268,727,673.44 - Step 6: Final answer
x = 55,469,392,856.45
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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.