Finding the Fourth Proportional to 5,169,681,215,271.20, 7,754,521,823,440 and 1,727,577,893,173.10
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Solution
The fourth proportional to 5,169,681,215,271.20, 7,754,521,823,440 and 1,727,577,893,173.10 is: 2,591,366,839,937.83
Step by Step Solution
- Step 1: Write the proportion equation
5,169,681,215,271.20 : 7,754,521,823,440 = 1,727,577,893,173.10 : x - Step 2: Convert to fraction form
5,169,681,215,271.20/7,754,521,823,440 = 1,727,577,893,173.10/x - Step 3: Cross multiply
5,169,681,215,271.20x = 7,754,521,823,440 × 1,727,577,893,173.10 - Step 4: Simplify right side
5,169,681,215,271.20x = 13,396,540,474,303,301,011,111,936 - Step 5: Solve for x
x = 13,396,540,474,303,301,011,111,936/5,169,681,215,271.20 - Step 6: Final answer
x = 2,591,366,839,937.83
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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.