Finding the Fourth Proportional to 14,563,946,267.24, 20,098,298,815.70 and 7,880,942,831.99
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Solution
The fourth proportional to 14,563,946,267.24, 20,098,298,815.70 and 7,880,942,831.99 is: 10,875,729,769.96
Step by Step Solution
- Step 1: Write the proportion equation
14,563,946,267.24 : 20,098,298,815.70 = 7,880,942,831.99 : x - Step 2: Convert to fraction form
14,563,946,267.24/20,098,298,815.70 = 7,880,942,831.99/x - Step 3: Cross multiply
14,563,946,267.24x = 20,098,298,815.70 × 7,880,942,831.99 - Step 4: Simplify right side
14,563,946,267.24x = 158,393,543,986,644,123,648 - Step 5: Solve for x
x = 158,393,543,986,644,123,648/14,563,946,267.24 - Step 6: Final answer
x = 10,875,729,769.96
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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.