Finding the Fourth Proportional to 412,950,912,402.45, 565,744,768,048.44 and 397,473,624,627.84
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Solution
The fourth proportional to 412,950,912,402.45, 565,744,768,048.44 and 397,473,624,627.84 is: 544,540,808,160.99
Step by Step Solution
- Step 1: Write the proportion equation
412,950,912,402.45 : 565,744,768,048.44 = 397,473,624,627.84 : x - Step 2: Convert to fraction form
412,950,912,402.45/565,744,768,048.44 = 397,473,624,627.84/x - Step 3: Cross multiply
412,950,912,402.45x = 565,744,768,048.44 × 397,473,624,627.84 - Step 4: Simplify right side
412,950,912,402.45x = 224,868,623,570,450,037,866,496 - Step 5: Solve for x
x = 224,868,623,570,450,037,866,496/412,950,912,402.45 - Step 6: Final answer
x = 544,540,808,160.99
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.