Finding the Fourth Proportional to 655,048,296,589.42, 982,678,027,347.08 and 201,766,989,860.95
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Solution
The fourth proportional to 655,048,296,589.42, 982,678,027,347.08 and 201,766,989,860.95 is: 302,683,006,142.66
Step by Step Solution
- Step 1: Write the proportion equation
655,048,296,589.42 : 982,678,027,347.08 = 201,766,989,860.95 : x - Step 2: Convert to fraction form
655,048,296,589.42/982,678,027,347.08 = 201,766,989,860.95/x - Step 3: Cross multiply
655,048,296,589.42x = 982,678,027,347.08 × 201,766,989,860.95 - Step 4: Simplify right side
655,048,296,589.42x = 198,271,987,580,316,655,026,176 - Step 5: Solve for x
x = 198,271,987,580,316,655,026,176/655,048,296,589.42 - Step 6: Final answer
x = 302,683,006,142.66
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.