Finding the Fourth Proportional to 417,940,135,175.92, 576,748,346,617.36 and 241,964,022,154.84
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Solution
The fourth proportional to 417,940,135,175.92, 576,748,346,617.36 and 241,964,022,154.84 is: 333,905,116,961.19
Step by Step Solution
- Step 1: Write the proportion equation
417,940,135,175.92 : 576,748,346,617.36 = 241,964,022,154.84 : x - Step 2: Convert to fraction form
417,940,135,175.92/576,748,346,617.36 = 241,964,022,154.84/x - Step 3: Cross multiply
417,940,135,175.92x = 576,748,346,617.36 × 241,964,022,154.84 - Step 4: Simplify right side
417,940,135,175.92x = 139,552,349,718,690,230,435,840 - Step 5: Solve for x
x = 139,552,349,718,690,230,435,840/417,940,135,175.92 - Step 6: Final answer
x = 333,905,116,961.19
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.