Finding the Fourth Proportional to 214,853,417,490.51, 296,498,637,923.74 and 117,197,186,596.27
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Solution
The fourth proportional to 214,853,417,490.51, 296,498,637,923.74 and 117,197,186,596.27 is: 161,732,620,314.61
Step by Step Solution
- Step 1: Write the proportion equation
214,853,417,490.51 : 296,498,637,923.74 = 117,197,186,596.27 : x - Step 2: Convert to fraction form
214,853,417,490.51/296,498,637,923.74 = 117,197,186,596.27/x - Step 3: Cross multiply
214,853,417,490.51x = 296,498,637,923.74 × 117,197,186,596.27 - Step 4: Simplify right side
214,853,417,490.51x = 34,748,806,194,288,455,057,408 - Step 5: Solve for x
x = 34,748,806,194,288,455,057,408/214,853,417,490.51 - Step 6: Final answer
x = 161,732,620,314.61
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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.