Finding the Fourth Proportional to 1,956,132,223,972.20, 2,935,538,636,471.70 and 682,717,018,649.31
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Solution
The fourth proportional to 1,956,132,223,972.20, 2,935,538,636,471.70 and 682,717,018,649.31 is: 1,024,543,311,265.60
Step by Step Solution
- Step 1: Write the proportion equation
1,956,132,223,972.20 : 2,935,538,636,471.70 = 682,717,018,649.31 : x - Step 2: Convert to fraction form
1,956,132,223,972.20/2,935,538,636,471.70 = 682,717,018,649.31/x - Step 3: Cross multiply
1,956,132,223,972.20x = 2,935,538,636,471.70 × 682,717,018,649.31 - Step 4: Simplify right side
1,956,132,223,972.20x = 2,004,142,186,021,820,074,819,584 - Step 5: Solve for x
x = 2,004,142,186,021,820,074,819,584/1,956,132,223,972.20 - Step 6: Final answer
x = 1,024,543,311,265.60
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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.