Finding the Fourth Proportional to 6,648,431,397.98, 9,174,767,304.74 and 3,678,228,906.62
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Solution
The fourth proportional to 6,648,431,397.98, 9,174,767,304.74 and 3,678,228,906.62 is: 5,075,918,256.75
Step by Step Solution
- Step 1: Write the proportion equation
6,648,431,397.98 : 9,174,767,304.74 = 3,678,228,906.62 : x - Step 2: Convert to fraction form
6,648,431,397.98/9,174,767,304.74 = 3,678,228,906.62/x - Step 3: Cross multiply
6,648,431,397.98x = 9,174,767,304.74 × 3,678,228,906.62 - Step 4: Simplify right side
6,648,431,397.98x = 33,746,894,311,742,468,096 - Step 5: Solve for x
x = 33,746,894,311,742,468,096/6,648,431,397.98 - Step 6: Final answer
x = 5,075,918,256.75
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1.5x scale
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.