Finding the Fourth Proportional to 1,163,790,146,880.20, 1,745,685,220,320.30 and 687,727,849,997.02
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Solution
The fourth proportional to 1,163,790,146,880.20, 1,745,685,220,320.30 and 687,727,849,997.02 is: 1,031,591,774,995.53
Step by Step Solution
- Step 1: Write the proportion equation
1,163,790,146,880.20 : 1,745,685,220,320.30 = 687,727,849,997.02 : x - Step 2: Convert to fraction form
1,163,790,146,880.20/1,745,685,220,320.30 = 687,727,849,997.02/x - Step 3: Cross multiply
1,163,790,146,880.20x = 1,745,685,220,320.30 × 687,727,849,997.02 - Step 4: Simplify right side
1,163,790,146,880.20x = 1,200,556,343,342,454,097,838,080 - Step 5: Solve for x
x = 1,200,556,343,342,454,097,838,080/1,163,790,146,880.20 - Step 6: Final answer
x = 1,031,591,774,995.53
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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.