Finding the Fourth Proportional to 507,853,468,012.02, 700,837,900,252.16 and 279,482,709,997.99
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Solution
The fourth proportional to 507,853,468,012.02, 700,837,900,252.16 and 279,482,709,997.99 is: 385,686,202,751.58
Step by Step Solution
- Step 1: Write the proportion equation
507,853,468,012.02 : 700,837,900,252.16 = 279,482,709,997.99 : x - Step 2: Convert to fraction form
507,853,468,012.02/700,837,900,252.16 = 279,482,709,997.99/x - Step 3: Cross multiply
507,853,468,012.02x = 700,837,900,252.16 × 279,482,709,997.99 - Step 4: Simplify right side
507,853,468,012.02x = 195,872,075,631,774,679,433,216 - Step 5: Solve for x
x = 195,872,075,631,774,679,433,216/507,853,468,012.02 - Step 6: Final answer
x = 385,686,202,751.58
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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.