Finding the Fourth Proportional to 791,486,342,634.28, 1,186,687,514,713.70 and 403,060,588,474.84
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Solution
The fourth proportional to 791,486,342,634.28, 1,186,687,514,713.70 and 403,060,588,474.84 is: 604,314,872,224.22
Step by Step Solution
- Step 1: Write the proportion equation
791,486,342,634.28 : 1,186,687,514,713.70 = 403,060,588,474.84 : x - Step 2: Convert to fraction form
791,486,342,634.28/1,186,687,514,713.70 = 403,060,588,474.84/x - Step 3: Cross multiply
791,486,342,634.28x = 1,186,687,514,713.70 × 403,060,588,474.84 - Step 4: Simplify right side
791,486,342,634.28x = 478,306,968,016,249,289,703,424 - Step 5: Solve for x
x = 478,306,968,016,249,289,703,424/791,486,342,634.28 - Step 6: Final answer
x = 604,314,872,224.22
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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.