Finding the Fourth Proportional to 7,711,201,933,960.40, 11,554,093,486,768 and 4,478,795,888,935.20
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Solution
The fourth proportional to 7,711,201,933,960.40, 11,554,093,486,768 and 4,478,795,888,935.20 is: 6,710,811,991,708.79
Step by Step Solution
- Step 1: Write the proportion equation
7,711,201,933,960.40 : 11,554,093,486,768 = 4,478,795,888,935.20 : x - Step 2: Convert to fraction form
7,711,201,933,960.40/11,554,093,486,768 = 4,478,795,888,935.20/x - Step 3: Cross multiply
7,711,201,933,960.40x = 11,554,093,486,768 × 4,478,795,888,935.20 - Step 4: Simplify right side
7,711,201,933,960.40x = 51,748,426,408,909,490,609,979,392 - Step 5: Solve for x
x = 51,748,426,408,909,490,609,979,392/7,711,201,933,960.40 - Step 6: Final answer
x = 6,710,811,991,708.79
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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.