Finding the Fourth Proportional to 2,365,623,197.76, 3,264,427,769.28 and 1,293,714,836.16
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Solution
The fourth proportional to 2,365,623,197.76, 3,264,427,769.28 and 1,293,714,836.16 is: 1,785,254,152.35
Step by Step Solution
- Step 1: Write the proportion equation
2,365,623,197.76 : 3,264,427,769.28 = 1,293,714,836.16 : x - Step 2: Convert to fraction form
2,365,623,197.76/3,264,427,769.28 = 1,293,714,836.16/x - Step 3: Cross multiply
2,365,623,197.76x = 3,264,427,769.28 × 1,293,714,836.16 - Step 4: Simplify right side
2,365,623,197.76x = 4,223,238,636,690,230,272 - Step 5: Solve for x
x = 4,223,238,636,690,230,272/2,365,623,197.76 - Step 6: Final answer
x = 1,785,254,152.35
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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.