Finding the Fourth Proportional to 432,439,485.13, 596,763,531.97 and 234,196,420.69
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Solution
The fourth proportional to 432,439,485.13, 596,763,531.97 and 234,196,420.69 is: 323,189,458.85
Step by Step Solution
- Step 1: Write the proportion equation
432,439,485.13 : 596,763,531.97 = 234,196,420.69 : x - Step 2: Convert to fraction form
432,439,485.13/596,763,531.97 = 234,196,420.69/x - Step 3: Cross multiply
432,439,485.13x = 596,763,531.97 × 234,196,420.69 - Step 4: Simplify right side
432,439,485.13x = 139,759,883,185,696,384 - Step 5: Solve for x
x = 139,759,883,185,696,384/432,439,485.13 - Step 6: Final answer
x = 323,189,458.85
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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.