Finding the Fourth Proportional to 217,154,992,839.12, 299,676,648,032.10 and 119,507,876,464.68
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Solution
The fourth proportional to 217,154,992,839.12, 299,676,648,032.10 and 119,507,876,464.68 is: 164,922,387,296.44
Step by Step Solution
- Step 1: Write the proportion equation
217,154,992,839.12 : 299,676,648,032.10 = 119,507,876,464.68 : x - Step 2: Convert to fraction form
217,154,992,839.12/299,676,648,032.10 = 119,507,876,464.68/x - Step 3: Cross multiply
217,154,992,839.12x = 299,676,648,032.10 × 119,507,876,464.68 - Step 4: Simplify right side
217,154,992,839.12x = 35,813,719,832,369,590,960,128 - Step 5: Solve for x
x = 35,813,719,832,369,590,960,128/217,154,992,839.12 - Step 6: Final answer
x = 164,922,387,296.44
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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.