Finding the Fourth Proportional to 5,202,862,655.40, 7,803,044,386.20 and 2,402,140,260.24
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Solution
The fourth proportional to 5,202,862,655.40, 7,803,044,386.20 and 2,402,140,260.24 is: 3,602,633,456.62
Step by Step Solution
- Step 1: Write the proportion equation
5,202,862,655.40 : 7,803,044,386.20 = 2,402,140,260.24 : x - Step 2: Convert to fraction form
5,202,862,655.40/7,803,044,386.20 = 2,402,140,260.24/x - Step 3: Cross multiply
5,202,862,655.40x = 7,803,044,386.20 × 2,402,140,260.24 - Step 4: Simplify right side
5,202,862,655.40x = 18,744,007,072,530,735,104 - Step 5: Solve for x
x = 18,744,007,072,530,735,104/5,202,862,655.40 - Step 6: Final answer
x = 3,602,633,456.62
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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.