Finding the Fourth Proportional to 47,970,118,088,046, 66,198,762,961,500 and 27,439,931,534,961
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Solution
The fourth proportional to 47,970,118,088,046, 66,198,762,961,500 and 27,439,931,534,961 is: 37,867,105,518,244.19
Step by Step Solution
- Step 1: Write the proportion equation
47,970,118,088,046 : 66,198,762,961,500 = 27,439,931,534,961 : x - Step 2: Convert to fraction form
47,970,118,088,046/66,198,762,961,500 = 27,439,931,534,961/x - Step 3: Cross multiply
47,970,118,088,046x = 66,198,762,961,500 × 27,439,931,534,961 - Step 4: Simplify right side
47,970,118,088,046x = 1,816,489,523,362,672,075,113,234,432 - Step 5: Solve for x
x = 1,816,489,523,362,672,075,113,234,432/47,970,118,088,046 - Step 6: Final answer
x = 37,867,105,518,244.19
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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.