Finding the Fourth Proportional to 896,195,643,643.12, 1,236,753,714,398.20 and 484,664,122,324.65
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Solution
The fourth proportional to 896,195,643,643.12, 1,236,753,714,398.20 and 484,664,122,324.65 is: 668,838,503,927.44
Step by Step Solution
- Step 1: Write the proportion equation
896,195,643,643.12 : 1,236,753,714,398.20 = 484,664,122,324.65 : x - Step 2: Convert to fraction form
896,195,643,643.12/1,236,753,714,398.20 = 484,664,122,324.65/x - Step 3: Cross multiply
896,195,643,643.12x = 1,236,753,714,398.20 × 484,664,122,324.65 - Step 4: Simplify right side
896,195,643,643.12x = 599,410,153,520,554,445,897,728 - Step 5: Solve for x
x = 599,410,153,520,554,445,897,728/896,195,643,643.12 - Step 6: Final answer
x = 668,838,503,927.44
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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.