Finding the Fourth Proportional to 946,289,985,158.94, 1,306,330,478,267.70 and 633,968,151,351.90
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Solution
The fourth proportional to 946,289,985,158.94, 1,306,330,478,267.70 and 633,968,151,351.90 is: 875,177,727,071.60
Step by Step Solution
- Step 1: Write the proportion equation
946,289,985,158.94 : 1,306,330,478,267.70 = 633,968,151,351.90 : x - Step 2: Convert to fraction form
946,289,985,158.94/1,306,330,478,267.70 = 633,968,151,351.90/x - Step 3: Cross multiply
946,289,985,158.94x = 1,306,330,478,267.70 × 633,968,151,351.90 - Step 4: Simplify right side
946,289,985,158.94x = 828,171,918,362,017,204,797,440 - Step 5: Solve for x
x = 828,171,918,362,017,204,797,440/946,289,985,158.94 - Step 6: Final answer
x = 875,177,727,071.60
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.