Finding the Fourth Proportional to 4,241,398,175,888.60, 6,362,097,348,015 and 1,018,065,938,678.90
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Solution
The fourth proportional to 4,241,398,175,888.60, 6,362,097,348,015 and 1,018,065,938,678.90 is: 1,527,098,928,224.64
Step by Step Solution
- Step 1: Write the proportion equation
4,241,398,175,888.60 : 6,362,097,348,015 = 1,018,065,938,678.90 : x - Step 2: Convert to fraction form
4,241,398,175,888.60/6,362,097,348,015 = 1,018,065,938,678.90/x - Step 3: Cross multiply
4,241,398,175,888.60x = 6,362,097,348,015 × 1,018,065,938,678.90 - Step 4: Simplify right side
4,241,398,175,888.60x = 6,477,034,608,573,431,135,862,784 - Step 5: Solve for x
x = 6,477,034,608,573,431,135,862,784/4,241,398,175,888.60 - Step 6: Final answer
x = 1,527,098,928,224.64
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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.