Finding the Fourth Proportional to 1,106,742,136,397, 1,660,339,624,193.50 and 380,579,159,296.68
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Solution
The fourth proportional to 1,106,742,136,397, 1,660,339,624,193.50 and 380,579,159,296.68 is: 570,946,598,617.50
Step by Step Solution
- Step 1: Write the proportion equation
1,106,742,136,397 : 1,660,339,624,193.50 = 380,579,159,296.68 : x - Step 2: Convert to fraction form
1,106,742,136,397/1,660,339,624,193.50 = 380,579,159,296.68/x - Step 3: Cross multiply
1,106,742,136,397x = 1,660,339,624,193.50 × 380,579,159,296.68 - Step 4: Simplify right side
1,106,742,136,397x = 631,890,658,322,527,813,632,000 - Step 5: Solve for x
x = 631,890,658,322,527,813,632,000/1,106,742,136,397 - Step 6: Final answer
x = 570,946,598,617.50
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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.