Finding the Fourth Proportional to 4,211,597,531,629, 6,312,987,118,549.80 and 1,762,518,959,406.20
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Solution
The fourth proportional to 4,211,597,531,629, 6,312,987,118,549.80 and 1,762,518,959,406.20 is: 2,641,933,233,973.43
Step by Step Solution
- Step 1: Write the proportion equation
4,211,597,531,629 : 6,312,987,118,549.80 = 1,762,518,959,406.20 : x - Step 2: Convert to fraction form
4,211,597,531,629/6,312,987,118,549.80 = 1,762,518,959,406.20/x - Step 3: Cross multiply
4,211,597,531,629x = 6,312,987,118,549.80 × 1,762,518,959,406.20 - Step 4: Simplify right side
4,211,597,531,629x = 11,126,759,486,931,137,768,456,192 - Step 5: Solve for x
x = 11,126,759,486,931,137,768,456,192/4,211,597,531,629 - Step 6: Final answer
x = 2,641,933,233,973.43
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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.