Finding the Fourth Proportional to 21,226,158,735,961, 31,842,421,654,766 and 7,455,318,263,161
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Solution
The fourth proportional to 21,226,158,735,961, 31,842,421,654,766 and 7,455,318,263,161 is: 11,184,095,561,476.18
Step by Step Solution
- Step 1: Write the proportion equation
21,226,158,735,961 : 31,842,421,654,766 = 7,455,318,263,161 : x - Step 2: Convert to fraction form
21,226,158,735,961/31,842,421,654,766 = 7,455,318,263,161/x - Step 3: Cross multiply
21,226,158,735,961x = 31,842,421,654,766 × 7,455,318,263,161 - Step 4: Simplify right side
21,226,158,735,961x = 237,395,387,706,050,281,090,318,336 - Step 5: Solve for x
x = 237,395,387,706,050,281,090,318,336/21,226,158,735,961 - Step 6: Final answer
x = 11,184,095,561,476.18
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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.