Finding the Fourth Proportional to 216,819,550,472.36, 299,218,155,357.07 and 119,164,652,839.99
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Solution
The fourth proportional to 216,819,550,472.36, 299,218,155,357.07 and 119,164,652,839.99 is: 164,451,164,707.55
Step by Step Solution
- Step 1: Write the proportion equation
216,819,550,472.36 : 299,218,155,357.07 = 119,164,652,839.99 : x - Step 2: Convert to fraction form
216,819,550,472.36/299,218,155,357.07 = 119,164,652,839.99/x - Step 3: Cross multiply
216,819,550,472.36x = 299,218,155,357.07 × 119,164,652,839.99 - Step 4: Simplify right side
216,819,550,472.36x = 35,656,227,606,547,442,696,192 - Step 5: Solve for x
x = 35,656,227,606,547,442,696,192/216,819,550,472.36 - Step 6: Final answer
x = 164,451,164,707.55
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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.