Finding the Fourth Proportional to 2,050,125,247.31, 3,076,307,377.16 and 869,522,085.63
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Solution
The fourth proportional to 2,050,125,247.31, 3,076,307,377.16 and 869,522,085.63 is: 1,304,757,945.95
Step by Step Solution
- Step 1: Write the proportion equation
2,050,125,247.31 : 3,076,307,377.16 = 869,522,085.63 : x - Step 2: Convert to fraction form
2,050,125,247.31/3,076,307,377.16 = 869,522,085.63/x - Step 3: Cross multiply
2,050,125,247.31x = 3,076,307,377.16 × 869,522,085.63 - Step 4: Simplify right side
2,050,125,247.31x = 2,674,917,206,622,770,688 - Step 5: Solve for x
x = 2,674,917,206,622,770,688/2,050,125,247.31 - Step 6: Final answer
x = 1,304,757,945.95
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1.5x scale
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.