Finding the Fourth Proportional to 989,298,646,291.89, 1,483,098,074,254 and 343,820,412,075.69
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Solution
The fourth proportional to 989,298,646,291.89, 1,483,098,074,254 and 343,820,412,075.69 is: 515,435,245,918.88
Step by Step Solution
- Step 1: Write the proportion equation
989,298,646,291.89 : 1,483,098,074,254 = 343,820,412,075.69 : x - Step 2: Convert to fraction form
989,298,646,291.89/1,483,098,074,254 = 343,820,412,075.69/x - Step 3: Cross multiply
989,298,646,291.89x = 1,483,098,074,254 × 343,820,412,075.69 - Step 4: Simplify right side
989,298,646,291.89x = 509,919,391,038,672,568,582,144 - Step 5: Solve for x
x = 509,919,391,038,672,568,582,144/989,298,646,291.89 - Step 6: Final answer
x = 515,435,245,918.88
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.