Finding the Fourth Proportional to 3,184,556,688,270, 4,776,806,221,216.70 and 1,006,351,037,506.70
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Solution
The fourth proportional to 3,184,556,688,270, 4,776,806,221,216.70 and 1,006,351,037,506.70 is: 1,509,517,451,642.96
Step by Step Solution
- Step 1: Write the proportion equation
3,184,556,688,270 : 4,776,806,221,216.70 = 1,006,351,037,506.70 : x - Step 2: Convert to fraction form
3,184,556,688,270/4,776,806,221,216.70 = 1,006,351,037,506.70/x - Step 3: Cross multiply
3,184,556,688,270x = 4,776,806,221,216.70 × 1,006,351,037,506.70 - Step 4: Simplify right side
3,184,556,688,270x = 4,807,143,896,689,884,927,098,880 - Step 5: Solve for x
x = 4,807,143,896,689,884,927,098,880/3,184,556,688,270 - Step 6: Final answer
x = 1,509,517,451,642.96
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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.