Finding the Fourth Proportional to 2,102,752,742.68, 2,902,692,273.41 and 1,310,190,304.02
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Solution
The fourth proportional to 2,102,752,742.68, 2,902,692,273.41 and 1,310,190,304.02 is: 1,808,619,337.40
Step by Step Solution
- Step 1: Write the proportion equation
2,102,752,742.68 : 2,902,692,273.41 = 1,310,190,304.02 : x - Step 2: Convert to fraction form
2,102,752,742.68/2,902,692,273.41 = 1,310,190,304.02/x - Step 3: Cross multiply
2,102,752,742.68x = 2,902,692,273.41 × 1,310,190,304.02 - Step 4: Simplify right side
2,102,752,742.68x = 3,803,079,272,175,552,512 - Step 5: Solve for x
x = 3,803,079,272,175,552,512/2,102,752,742.68 - Step 6: Final answer
x = 1,808,619,337.40
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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.