Finding the Fourth Proportional to 2,602,442,196,014.10, 3,903,663,294,021.20 and 926,803,526,702.10
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Solution
The fourth proportional to 2,602,442,196,014.10, 3,903,663,294,021.20 and 926,803,526,702.10 is: 1,390,205,290,053.17
Step by Step Solution
- Step 1: Write the proportion equation
2,602,442,196,014.10 : 3,903,663,294,021.20 = 926,803,526,702.10 : x - Step 2: Convert to fraction form
2,602,442,196,014.10/3,903,663,294,021.20 = 926,803,526,702.10/x - Step 3: Cross multiply
2,602,442,196,014.10x = 3,903,663,294,021.20 × 926,803,526,702.10 - Step 4: Simplify right side
2,602,442,196,014.10x = 3,617,928,907,956,384,922,861,568 - Step 5: Solve for x
x = 3,617,928,907,956,384,922,861,568/2,602,442,196,014.10 - Step 6: Final answer
x = 1,390,205,290,053.17
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1.5x scale
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.