Finding the Fourth Proportional to 596,481,865,585.84, 823,144,943,028.32 and 322,127,491,643.92
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Solution
The fourth proportional to 596,481,865,585.84, 823,144,943,028.32 and 322,127,491,643.92 is: 444,535,921,467.89
Step by Step Solution
- Step 1: Write the proportion equation
596,481,865,585.84 : 823,144,943,028.32 = 322,127,491,643.92 : x - Step 2: Convert to fraction form
596,481,865,585.84/823,144,943,028.32 = 322,127,491,643.92/x - Step 3: Cross multiply
596,481,865,585.84x = 823,144,943,028.32 × 322,127,491,643.92 - Step 4: Simplify right side
596,481,865,585.84x = 265,157,615,757,090,111,881,216 - Step 5: Solve for x
x = 265,157,615,757,090,111,881,216/596,481,865,585.84 - Step 6: Final answer
x = 444,535,921,467.89
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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.