Finding the Fourth Proportional to 73,975,997,026.88, 102,086,875,903.20 and 40,143,292,135.68
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Solution
The fourth proportional to 73,975,997,026.88, 102,086,875,903.20 and 40,143,292,135.68 is: 55,397,743,150.55
Step by Step Solution
- Step 1: Write the proportion equation
73,975,997,026.88 : 102,086,875,903.20 = 40,143,292,135.68 : x - Step 2: Convert to fraction form
73,975,997,026.88/102,086,875,903.20 = 40,143,292,135.68/x - Step 3: Cross multiply
73,975,997,026.88x = 102,086,875,903.20 × 40,143,292,135.68 - Step 4: Simplify right side
73,975,997,026.88x = 4,098,103,282,601,068,331,008 - Step 5: Solve for x
x = 4,098,103,282,601,068,331,008/73,975,997,026.88 - Step 6: Final answer
x = 55,397,743,150.55
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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.