Finding the Fourth Proportional to 507,853,468,010.02, 700,837,900,249.40 and 279,482,709,995.99
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Solution
The fourth proportional to 507,853,468,010.02, 700,837,900,249.40 and 279,482,709,995.99 is: 385,686,202,748.82
Step by Step Solution
- Step 1: Write the proportion equation
507,853,468,010.02 : 700,837,900,249.40 = 279,482,709,995.99 : x - Step 2: Convert to fraction form
507,853,468,010.02/700,837,900,249.40 = 279,482,709,995.99/x - Step 3: Cross multiply
507,853,468,010.02x = 700,837,900,249.40 × 279,482,709,995.99 - Step 4: Simplify right side
507,853,468,010.02x = 195,872,075,629,601,627,308,032 - Step 5: Solve for x
x = 195,872,075,629,601,627,308,032/507,853,468,010.02 - Step 6: Final answer
x = 385,686,202,748.82
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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.