Finding the Fourth Proportional to 5,459,075,784,938, 7,533,761,393,988.50 and 3,023,121,032,788.80
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Solution
The fourth proportional to 5,459,075,784,938, 7,533,761,393,988.50 and 3,023,121,032,788.80 is: 4,172,038,166,060.66
Step by Step Solution
- Step 1: Write the proportion equation
5,459,075,784,938 : 7,533,761,393,988.50 = 3,023,121,032,788.80 : x - Step 2: Convert to fraction form
5,459,075,784,938/7,533,761,393,988.50 = 3,023,121,032,788.80/x - Step 3: Cross multiply
5,459,075,784,938x = 7,533,761,393,988.50 × 3,023,121,032,788.80 - Step 4: Simplify right side
5,459,075,784,938x = 22,775,472,526,178,902,624,698,368 - Step 5: Solve for x
x = 22,775,472,526,178,902,624,698,368/5,459,075,784,938 - Step 6: Final answer
x = 4,172,038,166,060.66
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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.