Finding the Fourth Proportional to 1,403,605,616.17, 2,105,731,316.17 and 471,052,214.11
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Solution
The fourth proportional to 1,403,605,616.17, 2,105,731,316.17 and 471,052,214.11 is: 706,686,684.19
Step by Step Solution
- Step 1: Write the proportion equation
1,403,605,616.17 : 2,105,731,316.17 = 471,052,214.11 : x - Step 2: Convert to fraction form
1,403,605,616.17/2,105,731,316.17 = 471,052,214.11/x - Step 3: Cross multiply
1,403,605,616.17x = 2,105,731,316.17 × 471,052,214.11 - Step 4: Simplify right side
1,403,605,616.17x = 991,909,398,797,264,384 - Step 5: Solve for x
x = 991,909,398,797,264,384/1,403,605,616.17 - Step 6: Final answer
x = 706,686,684.19
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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.