Finding the Fourth Proportional to 838,259,608,901.60, 1,257,389,413,352.40 and 460,805,551,839.20
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Solution
The fourth proportional to 838,259,608,901.60, 1,257,389,413,352.40 and 460,805,551,839.20 is: 691,208,327,758.80
Step by Step Solution
- Step 1: Write the proportion equation
838,259,608,901.60 : 1,257,389,413,352.40 = 460,805,551,839.20 : x - Step 2: Convert to fraction form
838,259,608,901.60/1,257,389,413,352.40 = 460,805,551,839.20/x - Step 3: Cross multiply
838,259,608,901.60x = 1,257,389,413,352.40 × 460,805,551,839.20 - Step 4: Simplify right side
838,259,608,901.60x = 579,412,022,496,620,594,593,792 - Step 5: Solve for x
x = 579,412,022,496,620,594,593,792/838,259,608,901.60 - Step 6: Final answer
x = 691,208,327,758.80
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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.