Finding the Fourth Proportional to 1,605,109,603,530.40, 2,407,890,576,579.20 and 515,641,283,426.12
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Solution
The fourth proportional to 1,605,109,603,530.40, 2,407,890,576,579.20 and 515,641,283,426.12 is: 773,534,582,639.14
Step by Step Solution
- Step 1: Write the proportion equation
1,605,109,603,530.40 : 2,407,890,576,579.20 = 515,641,283,426.12 : x - Step 2: Convert to fraction form
1,605,109,603,530.40/2,407,890,576,579.20 = 515,641,283,426.12/x - Step 3: Cross multiply
1,605,109,603,530.40x = 2,407,890,576,579.20 × 515,641,283,426.12 - Step 4: Simplify right side
1,605,109,603,530.40x = 1,241,607,787,256,958,867,734,528 - Step 5: Solve for x
x = 1,241,607,787,256,958,867,734,528/1,605,109,603,530.40 - Step 6: Final answer
x = 773,534,582,639.14
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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.