Finding the Fourth Proportional to 781,668,066,214.39, 1,171,830,577,201 and 271,660,572,512.68
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Solution
The fourth proportional to 781,668,066,214.39, 1,171,830,577,201 and 271,660,572,512.68 is: 407,257,478,269.52
Step by Step Solution
- Step 1: Write the proportion equation
781,668,066,214.39 : 1,171,830,577,201 = 271,660,572,512.68 : x - Step 2: Convert to fraction form
781,668,066,214.39/1,171,830,577,201 = 271,660,572,512.68/x - Step 3: Cross multiply
781,668,066,214.39x = 1,171,830,577,201 × 271,660,572,512.68 - Step 4: Simplify right side
781,668,066,214.39x = 318,340,165,490,287,906,390,016 - Step 5: Solve for x
x = 318,340,165,490,287,906,390,016/781,668,066,214.39 - Step 6: Final answer
x = 407,257,478,269.52
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.