Finding the Fourth Proportional to 498,745,850,818.09, 748,043,186,839.29 and 135,739,803,623.58
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Solution
The fourth proportional to 498,745,850,818.09, 748,043,186,839.29 and 135,739,803,623.58 is: 203,589,132,855.88
Step by Step Solution
- Step 1: Write the proportion equation
498,745,850,818.09 : 748,043,186,839.29 = 135,739,803,623.58 : x - Step 2: Convert to fraction form
498,745,850,818.09/748,043,186,839.29 = 135,739,803,623.58/x - Step 3: Cross multiply
498,745,850,818.09x = 748,043,186,839.29 × 135,739,803,623.58 - Step 4: Simplify right side
498,745,850,818.09x = 101,539,235,283,522,201,583,616 - Step 5: Solve for x
x = 101,539,235,283,522,201,583,616/498,745,850,818.09 - Step 6: Final answer
x = 203,589,132,855.88
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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.