Finding the Fourth Proportional to 413,553,460.98, 570,703,779.36 and 227,914,478.76
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Solution
The fourth proportional to 413,553,460.98, 570,703,779.36 and 227,914,478.76 is: 314,521,982.46
Step by Step Solution
- Step 1: Write the proportion equation
413,553,460.98 : 570,703,779.36 = 227,914,478.76 : x - Step 2: Convert to fraction form
413,553,460.98/570,703,779.36 = 227,914,478.76/x - Step 3: Cross multiply
413,553,460.98x = 570,703,779.36 × 227,914,478.76 - Step 4: Simplify right side
413,553,460.98x = 130,071,654,399,196,448 - Step 5: Solve for x
x = 130,071,654,399,196,448/413,553,460.98 - Step 6: Final answer
x = 314,521,982.46
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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.