Finding the Fourth Proportional to 1,098,916,566.48, 1,516,514,439.91 and 597,125,348.43
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Solution
The fourth proportional to 1,098,916,566.48, 1,516,514,439.91 and 597,125,348.43 is: 824,038,185.38
Step by Step Solution
- Step 1: Write the proportion equation
1,098,916,566.48 : 1,516,514,439.91 = 597,125,348.43 : x - Step 2: Convert to fraction form
1,098,916,566.48/1,516,514,439.91 = 597,125,348.43/x - Step 3: Cross multiply
1,098,916,566.48x = 1,516,514,439.91 × 597,125,348.43 - Step 4: Simplify right side
1,098,916,566.48x = 905,549,213,330,444,672 - Step 5: Solve for x
x = 905,549,213,330,444,672/1,098,916,566.48 - Step 6: Final answer
x = 824,038,185.38
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1.5x scale
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.