Finding the Fourth Proportional to 303,020,524,739.79, 418,169,432,000.97 and 163,971,807,214.76
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Solution
The fourth proportional to 303,020,524,739.79, 418,169,432,000.97 and 163,971,807,214.76 is: 226,281,693,446.51
Step by Step Solution
- Step 1: Write the proportion equation
303,020,524,739.79 : 418,169,432,000.97 = 163,971,807,214.76 : x - Step 2: Convert to fraction form
303,020,524,739.79/418,169,432,000.97 = 163,971,807,214.76/x - Step 3: Cross multiply
303,020,524,739.79x = 418,169,432,000.97 × 163,971,807,214.76 - Step 4: Simplify right side
303,020,524,739.79x = 68,567,997,487,168,744,325,120 - Step 5: Solve for x
x = 68,567,997,487,168,744,325,120/303,020,524,739.79 - Step 6: Final answer
x = 226,281,693,446.51
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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.