Finding the Fourth Proportional to 507,853,468,008, 700,837,900,246.65 and 279,482,709,993.99
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Solution
The fourth proportional to 507,853,468,008, 700,837,900,246.65 and 279,482,709,993.99 is: 385,686,202,746.08
Step by Step Solution
- Step 1: Write the proportion equation
507,853,468,008 : 700,837,900,246.65 = 279,482,709,993.99 : x - Step 2: Convert to fraction form
507,853,468,008/700,837,900,246.65 = 279,482,709,993.99/x - Step 3: Cross multiply
507,853,468,008x = 700,837,900,246.65 × 279,482,709,993.99 - Step 4: Simplify right side
507,853,468,008x = 195,872,075,627,431,360,200,704 - Step 5: Solve for x
x = 195,872,075,627,431,360,200,704/507,853,468,008 - Step 6: Final answer
x = 385,686,202,746.08
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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.