Finding the Fourth Proportional to 791,486,342,628.24, 1,186,687,514,704.70 and 403,060,588,468.86
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Solution
The fourth proportional to 791,486,342,628.24, 1,186,687,514,704.70 and 403,060,588,468.86 is: 604,314,872,215.28
Step by Step Solution
- Step 1: Write the proportion equation
791,486,342,628.24 : 1,186,687,514,704.70 = 403,060,588,468.86 : x - Step 2: Convert to fraction form
791,486,342,628.24/1,186,687,514,704.70 = 403,060,588,468.86/x - Step 3: Cross multiply
791,486,342,628.24x = 1,186,687,514,704.70 × 403,060,588,468.86 - Step 4: Simplify right side
791,486,342,628.24x = 478,306,968,005,525,293,236,224 - Step 5: Solve for x
x = 478,306,968,005,525,293,236,224/791,486,342,628.24 - Step 6: Final answer
x = 604,314,872,215.28
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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.