Finding the Fourth Proportional to 776,268,741,354.50, 1,164,426,833,312.70 and 266,320,355,142.26
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Solution
The fourth proportional to 776,268,741,354.50, 1,164,426,833,312.70 and 266,320,355,142.26 is: 399,488,670,951.65
Step by Step Solution
- Step 1: Write the proportion equation
776,268,741,354.50 : 1,164,426,833,312.70 = 266,320,355,142.26 : x - Step 2: Convert to fraction form
776,268,741,354.50/1,164,426,833,312.70 = 266,320,355,142.26/x - Step 3: Cross multiply
776,268,741,354.50x = 1,164,426,833,312.70 × 266,320,355,142.26 - Step 4: Simplify right side
776,268,741,354.50x = 310,110,567,785,015,426,416,640 - Step 5: Solve for x
x = 310,110,567,785,015,426,416,640/776,268,741,354.50 - Step 6: Final answer
x = 399,488,670,951.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.