Finding the Fourth Proportional to 808,615,511,367.75, 1,212,997,830,903.10 and 264,066,863,201.68
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Solution
The fourth proportional to 808,615,511,367.75, 1,212,997,830,903.10 and 264,066,863,201.68 is: 396,124,644,870.12
Step by Step Solution
- Step 1: Write the proportion equation
808,615,511,367.75 : 1,212,997,830,903.10 = 264,066,863,201.68 : x - Step 2: Convert to fraction form
808,615,511,367.75/1,212,997,830,903.10 = 264,066,863,201.68/x - Step 3: Cross multiply
808,615,511,367.75x = 1,212,997,830,903.10 × 264,066,863,201.68 - Step 4: Simplify right side
808,615,511,367.75x = 320,312,532,277,023,471,566,848 - Step 5: Solve for x
x = 320,312,532,277,023,471,566,848/808,615,511,367.75 - Step 6: Final answer
x = 396,124,644,870.12
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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.