Finding the Fourth Proportional to 214,853,417,029.66, 296,498,637,287.98 and 117,197,186,135.65
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Solution
The fourth proportional to 214,853,417,029.66, 296,498,637,287.98 and 117,197,186,135.65 is: 161,732,619,679.07
Step by Step Solution
- Step 1: Write the proportion equation
214,853,417,029.66 : 296,498,637,287.98 = 117,197,186,135.65 : x - Step 2: Convert to fraction form
214,853,417,029.66/296,498,637,287.98 = 117,197,186,135.65/x - Step 3: Cross multiply
214,853,417,029.66x = 296,498,637,287.98 × 117,197,186,135.65 - Step 4: Simplify right side
214,853,417,029.66x = 34,748,805,983,205,962,285,056 - Step 5: Solve for x
x = 34,748,805,983,205,962,285,056/214,853,417,029.66 - Step 6: Final answer
x = 161,732,619,679.07
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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.