Finding the Fourth Proportional to 164,094,982,055.34, 246,226,618,018.77 and 79,177,196,991
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Solution
The fourth proportional to 164,094,982,055.34, 246,226,618,018.77 and 79,177,196,991 is: 118,806,396,119.57
Step by Step Solution
- Step 1: Write the proportion equation
164,094,982,055.34 : 246,226,618,018.77 = 79,177,196,991 : x - Step 2: Convert to fraction form
164,094,982,055.34/246,226,618,018.77 = 79,177,196,991/x - Step 3: Cross multiply
164,094,982,055.34x = 246,226,618,018.77 × 79,177,196,991 - Step 4: Simplify right side
164,094,982,055.34x = 19,495,533,439,299,862,134,784 - Step 5: Solve for x
x = 19,495,533,439,299,862,134,784/164,094,982,055.34 - Step 6: Final answer
x = 118,806,396,119.57
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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.