Finding the Fourth Proportional to 46,411,363,582.77, 69,616,958,475.25 and 14,542,476,233.02
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Solution
The fourth proportional to 46,411,363,582.77, 69,616,958,475.25 and 14,542,476,233.02 is: 21,813,687,120.73
Step by Step Solution
- Step 1: Write the proportion equation
46,411,363,582.77 : 69,616,958,475.25 = 14,542,476,233.02 : x - Step 2: Convert to fraction form
46,411,363,582.77/69,616,958,475.25 = 14,542,476,233.02/x - Step 3: Cross multiply
46,411,363,582.77x = 69,616,958,475.25 × 14,542,476,233.02 - Step 4: Simplify right side
46,411,363,582.77x = 1,012,402,964,041,210,789,888 - Step 5: Solve for x
x = 1,012,402,964,041,210,789,888/46,411,363,582.77 - Step 6: Final answer
x = 21,813,687,120.73
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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.