Finding the Fourth Proportional to 3,539,495,790,417, 4,884,452,208,125.20 and 1,976,984,848,242.40
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Solution
The fourth proportional to 3,539,495,790,417, 4,884,452,208,125.20 and 1,976,984,848,242.40 is: 2,728,210,055,672.93
Step by Step Solution
- Step 1: Write the proportion equation
3,539,495,790,417 : 4,884,452,208,125.20 = 1,976,984,848,242.40 : x - Step 2: Convert to fraction form
3,539,495,790,417/4,884,452,208,125.20 = 1,976,984,848,242.40/x - Step 3: Cross multiply
3,539,495,790,417x = 4,884,452,208,125.20 × 1,976,984,848,242.40 - Step 4: Simplify right side
3,539,495,790,417x = 9,656,488,007,427,654,271,631,360 - Step 5: Solve for x
x = 9,656,488,007,427,654,271,631,360/3,539,495,790,417 - Step 6: Final answer
x = 2,728,210,055,672.93
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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.