Finding the Fourth Proportional to 216,486,900,814.74, 298,752,218,968.14 and 117,496,164,429.08
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Solution
The fourth proportional to 216,486,900,814.74, 298,752,218,968.14 and 117,496,164,429.08 is: 162,144,867,478.48
Step by Step Solution
- Step 1: Write the proportion equation
216,486,900,814.74 : 298,752,218,968.14 = 117,496,164,429.08 : x - Step 2: Convert to fraction form
216,486,900,814.74/298,752,218,968.14 = 117,496,164,429.08/x - Step 3: Cross multiply
216,486,900,814.74x = 298,752,218,968.14 × 117,496,164,429.08 - Step 4: Simplify right side
216,486,900,814.74x = 35,102,239,843,433,094,053,888 - Step 5: Solve for x
x = 35,102,239,843,433,094,053,888/216,486,900,814.74 - Step 6: Final answer
x = 162,144,867,478.48
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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.