Finding the Fourth Proportional to 192,909,736,981.93, 266,215,657,741.14 and 107,268,863,990.24
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Solution
The fourth proportional to 192,909,736,981.93, 266,215,657,741.14 and 107,268,863,990.24 is: 148,031,155,031.75
Step by Step Solution
- Step 1: Write the proportion equation
192,909,736,981.93 : 266,215,657,741.14 = 107,268,863,990.24 : x - Step 2: Convert to fraction form
192,909,736,981.93/266,215,657,741.14 = 107,268,863,990.24/x - Step 3: Cross multiply
192,909,736,981.93x = 266,215,657,741.14 × 107,268,863,990.24 - Step 4: Simplify right side
192,909,736,981.93x = 28,556,651,182,306,631,876,608 - Step 5: Solve for x
x = 28,556,651,182,306,631,876,608/192,909,736,981.93 - Step 6: Final answer
x = 148,031,155,031.75
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.