Finding the Fourth Proportional to 2,133,417,276,149, 2,944,118,019,993.90 and 1,157,935,352,694.50
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Solution
The fourth proportional to 2,133,417,276,149, 2,944,118,019,993.90 and 1,157,935,352,694.50 is: 1,597,951,969,344.50
Step by Step Solution
- Step 1: Write the proportion equation
2,133,417,276,149 : 2,944,118,019,993.90 = 1,157,935,352,694.50 : x - Step 2: Convert to fraction form
2,133,417,276,149/2,944,118,019,993.90 = 1,157,935,352,694.50/x - Step 3: Cross multiply
2,133,417,276,149x = 2,944,118,019,993.90 × 1,157,935,352,694.50 - Step 4: Simplify right side
2,133,417,276,149x = 3,409,098,337,855,869,705,781,248 - Step 5: Solve for x
x = 3,409,098,337,855,869,705,781,248/2,133,417,276,149 - Step 6: Final answer
x = 1,597,951,969,344.50
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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.