Finding the Fourth Proportional to 678,920,378,959.09, 936,911,052,124 and 370,272,484,178.29
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Solution
The fourth proportional to 678,920,378,959.09, 936,911,052,124 and 370,272,484,178.29 is: 510,976,534,915.52
Step by Step Solution
- Step 1: Write the proportion equation
678,920,378,959.09 : 936,911,052,124 = 370,272,484,178.29 : x - Step 2: Convert to fraction form
678,920,378,959.09/936,911,052,124 = 370,272,484,178.29/x - Step 3: Cross multiply
678,920,378,959.09x = 936,911,052,124 × 370,272,484,178.29 - Step 4: Simplify right side
678,920,378,959.09x = 346,912,382,724,048,796,254,208 - Step 5: Solve for x
x = 346,912,382,724,048,796,254,208/678,920,378,959.09 - Step 6: Final answer
x = 510,976,534,915.52
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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.