Finding the Fourth Proportional to 1,613,414,938.60, 2,420,122,407.90 and 1,577,583,130.60
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Solution
The fourth proportional to 1,613,414,938.60, 2,420,122,407.90 and 1,577,583,130.60 is: 2,366,374,695.90
Step by Step Solution
- Step 1: Write the proportion equation
1,613,414,938.60 : 2,420,122,407.90 = 1,577,583,130.60 : x - Step 2: Convert to fraction form
1,613,414,938.60/2,420,122,407.90 = 1,577,583,130.60/x - Step 3: Cross multiply
1,613,414,938.60x = 2,420,122,407.90 × 1,577,583,130.60 - Step 4: Simplify right side
1,613,414,938.60x = 3,817,944,284,690,092,032 - Step 5: Solve for x
x = 3,817,944,284,690,092,032/1,613,414,938.60 - Step 6: Final answer
x = 2,366,374,695.90
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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.