Finding the Fourth Proportional to 507,853,468,012, 700,837,900,252.15 and 279,482,709,997.99
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Solution
The fourth proportional to 507,853,468,012, 700,837,900,252.15 and 279,482,709,997.99 is: 385,686,202,751.59
Step by Step Solution
- Step 1: Write the proportion equation
507,853,468,012 : 700,837,900,252.15 = 279,482,709,997.99 : x - Step 2: Convert to fraction form
507,853,468,012/700,837,900,252.15 = 279,482,709,997.99/x - Step 3: Cross multiply
507,853,468,012x = 700,837,900,252.15 × 279,482,709,997.99 - Step 4: Simplify right side
507,853,468,012x = 195,872,075,631,771,894,415,360 - Step 5: Solve for x
x = 195,872,075,631,771,894,415,360/507,853,468,012 - Step 6: Final answer
x = 385,686,202,751.59
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1.5x scale
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.