Finding the Fourth Proportional to 7,543,987,520.13, 10,410,233,698.40 and 4,156,707,254.19
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Solution
The fourth proportional to 7,543,987,520.13, 10,410,233,698.40 and 4,156,707,254.19 is: 5,735,997,549.90
Step by Step Solution
- Step 1: Write the proportion equation
7,543,987,520.13 : 10,410,233,698.40 = 4,156,707,254.19 : x - Step 2: Convert to fraction form
7,543,987,520.13/10,410,233,698.40 = 4,156,707,254.19/x - Step 3: Cross multiply
7,543,987,520.13x = 10,410,233,698.40 × 4,156,707,254.19 - Step 4: Simplify right side
7,543,987,520.13x = 43,272,293,931,931,688,960 - Step 5: Solve for x
x = 43,272,293,931,931,688,960/7,543,987,520.13 - Step 6: Final answer
x = 5,735,997,549.90
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Double scale
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1.5x scale
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.