Finding the Fourth Proportional to 916,594,484,541.84, 1,264,843,395,520.80 and 505,039,932,229.50
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Solution
The fourth proportional to 916,594,484,541.84, 1,264,843,395,520.80 and 505,039,932,229.50 is: 696,923,703,478.38
Step by Step Solution
- Step 1: Write the proportion equation
916,594,484,541.84 : 1,264,843,395,520.80 = 505,039,932,229.50 : x - Step 2: Convert to fraction form
916,594,484,541.84/1,264,843,395,520.80 = 505,039,932,229.50/x - Step 3: Cross multiply
916,594,484,541.84x = 1,264,843,395,520.80 × 505,039,932,229.50 - Step 4: Simplify right side
916,594,484,541.84x = 638,796,422,754,755,460,202,496 - Step 5: Solve for x
x = 638,796,422,754,755,460,202,496/916,594,484,541.84 - Step 6: Final answer
x = 696,923,703,478.38
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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.