Finding the Fourth Proportional to 1,510,484,875,022.90, 2,264,899,882,249.70 and 743,887,266,744.87
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Solution
The fourth proportional to 1,510,484,875,022.90, 2,264,899,882,249.70 and 743,887,266,744.87 is: 1,115,423,405,237.32
Step by Step Solution
- Step 1: Write the proportion equation
1,510,484,875,022.90 : 2,264,899,882,249.70 = 743,887,266,744.87 : x - Step 2: Convert to fraction form
1,510,484,875,022.90/2,264,899,882,249.70 = 743,887,266,744.87/x - Step 3: Cross multiply
1,510,484,875,022.90x = 2,264,899,882,249.70 × 743,887,266,744.87 - Step 4: Simplify right side
1,510,484,875,022.90x = 1,684,830,182,857,507,403,202,560 - Step 5: Solve for x
x = 1,684,830,182,857,507,403,202,560/1,510,484,875,022.90 - Step 6: Final answer
x = 1,115,423,405,237.32
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.