Finding the Fourth Proportional to 10,518,589,135,538, 14,515,652,692,506 and 5,830,976,022,382
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Solution
The fourth proportional to 10,518,589,135,538, 14,515,652,692,506 and 5,830,976,022,382 is: 8,046,746,736,524
Step by Step Solution
- Step 1: Write the proportion equation
10,518,589,135,538 : 14,515,652,692,506 = 5,830,976,022,382 : x - Step 2: Convert to fraction form
10,518,589,135,538/14,515,652,692,506 = 5,830,976,022,382/x - Step 3: Cross multiply
10,518,589,135,538x = 14,515,652,692,506 × 5,830,976,022,382 - Step 4: Simplify right side
10,518,589,135,538x = 84,640,422,799,227,205,474,844,672 - Step 5: Solve for x
x = 84,640,422,799,227,205,474,844,672/10,518,589,135,538 - Step 6: Final answer
x = 8,046,746,736,524
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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.