Finding the Fourth Proportional to 946,289,985,171.44, 1,306,330,478,284.90 and 633,968,151,364.40
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Solution
The fourth proportional to 946,289,985,171.44, 1,306,330,478,284.90 and 633,968,151,364.40 is: 875,177,727,088.82
Step by Step Solution
- Step 1: Write the proportion equation
946,289,985,171.44 : 1,306,330,478,284.90 = 633,968,151,364.40 : x - Step 2: Convert to fraction form
946,289,985,171.44/1,306,330,478,284.90 = 633,968,151,364.40/x - Step 3: Cross multiply
946,289,985,171.44x = 1,306,330,478,284.90 × 633,968,151,364.40 - Step 4: Simplify right side
946,289,985,171.44x = 828,171,918,389,250,518,679,552 - Step 5: Solve for x
x = 828,171,918,389,250,518,679,552/946,289,985,171.44 - Step 6: Final answer
x = 875,177,727,088.82
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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.