Finding the Fourth Proportional to 1,646,247,714,971.10, 2,468,523,695,523.80 and 738,907,683,177.12
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Solution
The fourth proportional to 1,646,247,714,971.10, 2,468,523,695,523.80 and 738,907,683,177.12 is: 1,107,980,960,665.65
Step by Step Solution
- Step 1: Write the proportion equation
1,646,247,714,971.10 : 2,468,523,695,523.80 = 738,907,683,177.12 : x - Step 2: Convert to fraction form
1,646,247,714,971.10/2,468,523,695,523.80 = 738,907,683,177.12/x - Step 3: Cross multiply
1,646,247,714,971.10x = 2,468,523,695,523.80 × 738,907,683,177.12 - Step 4: Simplify right side
1,646,247,714,971.10x = 1,824,011,124,727,313,160,208,384 - Step 5: Solve for x
x = 1,824,011,124,727,313,160,208,384/1,646,247,714,971.10 - Step 6: Final answer
x = 1,107,980,960,665.65
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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.