Finding the Fourth Proportional to 612,221,008,047.45, 918,331,512,071.20 and 412,392,389,602.65
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Solution
The fourth proportional to 612,221,008,047.45, 918,331,512,071.20 and 412,392,389,602.65 is: 618,588,584,403.99
Step by Step Solution
- Step 1: Write the proportion equation
612,221,008,047.45 : 918,331,512,071.20 = 412,392,389,602.65 : x - Step 2: Convert to fraction form
612,221,008,047.45/918,331,512,071.20 = 412,392,389,602.65/x - Step 3: Cross multiply
612,221,008,047.45x = 918,331,512,071.20 × 412,392,389,602.65 - Step 4: Simplify right side
612,221,008,047.45x = 378,712,926,710,456,974,835,712 - Step 5: Solve for x
x = 378,712,926,710,456,974,835,712/612,221,008,047.45 - Step 6: Final answer
x = 618,588,584,403.99
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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.