Finding the Fourth Proportional to 1,640,160,041,230.40, 2,263,420,069,649.20 and 980,966,106,160.16
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Solution
The fourth proportional to 1,640,160,041,230.40, 2,263,420,069,649.20 and 980,966,106,160.16 is: 1,353,732,755,654.08
Step by Step Solution
- Step 1: Write the proportion equation
1,640,160,041,230.40 : 2,263,420,069,649.20 = 980,966,106,160.16 : x - Step 2: Convert to fraction form
1,640,160,041,230.40/2,263,420,069,649.20 = 980,966,106,160.16/x - Step 3: Cross multiply
1,640,160,041,230.40x = 2,263,420,069,649.20 × 980,966,106,160.16 - Step 4: Simplify right side
1,640,160,041,230.40x = 2,220,338,372,328,534,027,796,480 - Step 5: Solve for x
x = 2,220,338,372,328,534,027,796,480/1,640,160,041,230.40 - Step 6: Final answer
x = 1,353,732,755,654.08
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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.