Finding the Fourth Proportional to 373,584,851,416.96, 515,547,592,124.75 and 202,307,078,292.20
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Solution
The fourth proportional to 373,584,851,416.96, 515,547,592,124.75 and 202,307,078,292.20 is: 279,184,037,274.92
Step by Step Solution
- Step 1: Write the proportion equation
373,584,851,416.96 : 515,547,592,124.75 = 202,307,078,292.20 : x - Step 2: Convert to fraction form
373,584,851,416.96/515,547,592,124.75 = 202,307,078,292.20/x - Step 3: Cross multiply
373,584,851,416.96x = 515,547,592,124.75 × 202,307,078,292.20 - Step 4: Simplify right side
373,584,851,416.96x = 104,298,927,083,336,992,030,720 - Step 5: Solve for x
x = 104,298,927,083,336,992,030,720/373,584,851,416.96 - Step 6: Final answer
x = 279,184,037,274.92
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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.