Finding the Fourth Proportional to 2,209,292,822,490, 3,048,381,916,276.20 and 1,233,660,582,536.80
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Solution
The fourth proportional to 2,209,292,822,490, 3,048,381,916,276.20 and 1,233,660,582,536.80 is: 1,702,204,692,988.34
Step by Step Solution
- Step 1: Write the proportion equation
2,209,292,822,490 : 3,048,381,916,276.20 = 1,233,660,582,536.80 : x - Step 2: Convert to fraction form
2,209,292,822,490/3,048,381,916,276.20 = 1,233,660,582,536.80/x - Step 3: Cross multiply
2,209,292,822,490x = 3,048,381,916,276.20 × 1,233,660,582,536.80 - Step 4: Simplify right side
2,209,292,822,490x = 3,760,668,610,627,944,218,361,856 - Step 5: Solve for x
x = 3,760,668,610,627,944,218,361,856/2,209,292,822,490 - Step 6: Final answer
x = 1,702,204,692,988.34
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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.