Finding the Fourth Proportional to 10,424,465,070.08, 14,385,659,595.20 and 5,666,457,853.84
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Solution
The fourth proportional to 10,424,465,070.08, 14,385,659,595.20 and 5,666,457,853.84 is: 7,819,656,284.32
Step by Step Solution
- Step 1: Write the proportion equation
10,424,465,070.08 : 14,385,659,595.20 = 5,666,457,853.84 : x - Step 2: Convert to fraction form
10,424,465,070.08/14,385,659,595.20 = 5,666,457,853.84/x - Step 3: Cross multiply
10,424,465,070.08x = 14,385,659,595.20 × 5,666,457,853.84 - Step 4: Simplify right side
10,424,465,070.08x = 81,515,733,795,889,807,360 - Step 5: Solve for x
x = 81,515,733,795,889,807,360/10,424,465,070.08 - Step 6: Final answer
x = 7,819,656,284.32
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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.