Finding the Fourth Proportional to 5,200,403,719,355.40, 7,176,573,901,963.60 and 2,888,149,794,464
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Solution
The fourth proportional to 5,200,403,719,355.40, 7,176,573,901,963.60 and 2,888,149,794,464 is: 3,985,656,029,505.54
Step by Step Solution
- Step 1: Write the proportion equation
5,200,403,719,355.40 : 7,176,573,901,963.60 = 2,888,149,794,464 : x - Step 2: Convert to fraction form
5,200,403,719,355.40/7,176,573,901,963.60 = 2,888,149,794,464/x - Step 3: Cross multiply
5,200,403,719,355.40x = 7,176,573,901,963.60 × 2,888,149,794,464 - Step 4: Simplify right side
5,200,403,719,355.40x = 20,727,020,439,911,875,502,669,824 - Step 5: Solve for x
x = 20,727,020,439,911,875,502,669,824/5,200,403,719,355.40 - Step 6: Final answer
x = 3,985,656,029,505.54
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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.