Finding the Fourth Proportional to 2,135,217,847.84, 3,203,309,727.28 and 1,152,623,298.40
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Solution
The fourth proportional to 2,135,217,847.84, 3,203,309,727.28 and 1,152,623,298.40 is: 1,729,195,654.39
Step by Step Solution
- Step 1: Write the proportion equation
2,135,217,847.84 : 3,203,309,727.28 = 1,152,623,298.40 : x - Step 2: Convert to fraction form
2,135,217,847.84/3,203,309,727.28 = 1,152,623,298.40/x - Step 3: Cross multiply
2,135,217,847.84x = 3,203,309,727.28 × 1,152,623,298.40 - Step 4: Simplify right side
2,135,217,847.84x = 3,692,209,423,654,278,656 - Step 5: Solve for x
x = 3,692,209,423,654,278,656/2,135,217,847.84 - Step 6: Final answer
x = 1,729,195,654.39
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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.