Finding the Fourth Proportional to 1,611,265,914,106.20, 2,415,707,366,127.60 and 974,416,729,089.28
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Solution
The fourth proportional to 1,611,265,914,106.20, 2,415,707,366,127.60 and 974,416,729,089.28 is: 1,460,904,528,253.92
Step by Step Solution
- Step 1: Write the proportion equation
1,611,265,914,106.20 : 2,415,707,366,127.60 = 974,416,729,089.28 : x - Step 2: Convert to fraction form
1,611,265,914,106.20/2,415,707,366,127.60 = 974,416,729,089.28/x - Step 3: Cross multiply
1,611,265,914,106.20x = 2,415,707,366,127.60 × 974,416,729,089.28 - Step 4: Simplify right side
1,611,265,914,106.20x = 2,353,905,670,138,935,805,739,008 - Step 5: Solve for x
x = 2,353,905,670,138,935,805,739,008/1,611,265,914,106.20 - Step 6: Final answer
x = 1,460,904,528,253.92
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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.