Finding the Fourth Proportional to 1,687,095,742,324.80, 2,328,152,523,764 and 992,681,278,140.55
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Solution
The fourth proportional to 1,687,095,742,324.80, 2,328,152,523,764 and 992,681,278,140.55 is: 1,369,876,862,952.37
Step by Step Solution
- Step 1: Write the proportion equation
1,687,095,742,324.80 : 2,328,152,523,764 = 992,681,278,140.55 : x - Step 2: Convert to fraction form
1,687,095,742,324.80/2,328,152,523,764 = 992,681,278,140.55/x - Step 3: Cross multiply
1,687,095,742,324.80x = 2,328,152,523,764 × 992,681,278,140.55 - Step 4: Simplify right side
1,687,095,742,324.80x = 2,311,113,422,996,194,969,255,936 - Step 5: Solve for x
x = 2,311,113,422,996,194,969,255,936/1,687,095,742,324.80 - Step 6: Final answer
x = 1,369,876,862,952.37
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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.