Finding the Fourth Proportional to 3,211,407,061.21, 4,433,298,867.48 and 2,153,748,142.09
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Solution
The fourth proportional to 3,211,407,061.21, 4,433,298,867.48 and 2,153,748,142.09 is: 2,973,216,729.36
Step by Step Solution
- Step 1: Write the proportion equation
3,211,407,061.21 : 4,433,298,867.48 = 2,153,748,142.09 : x - Step 2: Convert to fraction form
3,211,407,061.21/4,433,298,867.48 = 2,153,748,142.09/x - Step 3: Cross multiply
3,211,407,061.21x = 4,433,298,867.48 × 2,153,748,142.09 - Step 4: Simplify right side
3,211,407,061.21x = 9,548,209,199,164,749,824 - Step 5: Solve for x
x = 9,548,209,199,164,749,824/3,211,407,061.21 - Step 6: Final answer
x = 2,973,216,729.36
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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.