Finding the Fourth Proportional to 18,655,209,015,138, 27,986,630,043,996 and 6,415,029,779,734.10
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Solution
The fourth proportional to 18,655,209,015,138, 27,986,630,043,996 and 6,415,029,779,734.10 is: 9,623,857,069,676.86
Step by Step Solution
- Step 1: Write the proportion equation
18,655,209,015,138 : 27,986,630,043,996 = 6,415,029,779,734.10 : x - Step 2: Convert to fraction form
18,655,209,015,138/27,986,630,043,996 = 6,415,029,779,734.10/x - Step 3: Cross multiply
18,655,209,015,138x = 27,986,630,043,996 × 6,415,029,779,734.10 - Step 4: Simplify right side
18,655,209,015,138x = 179,535,065,166,635,379,535,642,624 - Step 5: Solve for x
x = 179,535,065,166,635,379,535,642,624/18,655,209,015,138 - Step 6: Final answer
x = 9,623,857,069,676.86
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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.