Finding the Fourth Proportional to 413,553,462.48, 570,703,781.43 and 227,914,480.26
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Solution
The fourth proportional to 413,553,462.48, 570,703,781.43 and 227,914,480.26 is: 314,521,984.53
Step by Step Solution
- Step 1: Write the proportion equation
413,553,462.48 : 570,703,781.43 = 227,914,480.26 : x - Step 2: Convert to fraction form
413,553,462.48/570,703,781.43 = 227,914,480.26/x - Step 3: Cross multiply
413,553,462.48x = 570,703,781.43 × 227,914,480.26 - Step 4: Simplify right side
413,553,462.48x = 130,071,655,727,035,072 - Step 5: Solve for x
x = 130,071,655,727,035,072/413,553,462.48 - Step 6: Final answer
x = 314,521,984.53
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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.