Finding the Fourth Proportional to 784,852,830,252.09, 1,083,298,426,553.60 and 511,180,449,649.83
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Solution
The fourth proportional to 784,852,830,252.09, 1,083,298,426,553.60 and 511,180,449,649.83 is: 705,560,272,507.09
Step by Step Solution
- Step 1: Write the proportion equation
784,852,830,252.09 : 1,083,298,426,553.60 = 511,180,449,649.83 : x - Step 2: Convert to fraction form
784,852,830,252.09/1,083,298,426,553.60 = 511,180,449,649.83/x - Step 3: Cross multiply
784,852,830,252.09x = 1,083,298,426,553.60 × 511,180,449,649.83 - Step 4: Simplify right side
784,852,830,252.09x = 553,760,976,790,622,591,516,672 - Step 5: Solve for x
x = 553,760,976,790,622,591,516,672/784,852,830,252.09 - Step 6: Final answer
x = 705,560,272,507.09
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1.5x scale
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.