Finding the Fourth Proportional to 920,155,212,835.20, 1,380,232,819,252.80 and 763,426,884,643.20
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Solution
The fourth proportional to 920,155,212,835.20, 1,380,232,819,252.80 and 763,426,884,643.20 is: 1,145,140,326,964.80
Step by Step Solution
- Step 1: Write the proportion equation
920,155,212,835.20 : 1,380,232,819,252.80 = 763,426,884,643.20 : x - Step 2: Convert to fraction form
920,155,212,835.20/1,380,232,819,252.80 = 763,426,884,643.20/x - Step 3: Cross multiply
920,155,212,835.20x = 1,380,232,819,252.80 × 763,426,884,643.20 - Step 4: Simplify right side
920,155,212,835.20x = 1,053,706,841,284,465,985,060,864 - Step 5: Solve for x
x = 1,053,706,841,284,465,985,060,864/920,155,212,835.20 - Step 6: Final answer
x = 1,145,140,326,964.80
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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.