Finding the Fourth Proportional to 21,226,158,735,959, 31,842,421,654,756 and 7,455,318,263,158
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Solution
The fourth proportional to 21,226,158,735,959, 31,842,421,654,756 and 7,455,318,263,158 is: 11,184,095,561,469.22
Step by Step Solution
- Step 1: Write the proportion equation
21,226,158,735,959 : 31,842,421,654,756 = 7,455,318,263,158 : x - Step 2: Convert to fraction form
21,226,158,735,959/31,842,421,654,756 = 7,455,318,263,158/x - Step 3: Cross multiply
21,226,158,735,959x = 31,842,421,654,756 × 7,455,318,263,158 - Step 4: Simplify right side
21,226,158,735,959x = 237,395,387,705,880,200,385,396,736 - Step 5: Solve for x
x = 237,395,387,705,880,200,385,396,736/21,226,158,735,959 - Step 6: Final answer
x = 11,184,095,561,469.22
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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.