Finding the Fourth Proportional to 215,070,789,468.80, 296,789,909,315.84 and 118,724,806,592.49
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Solution
The fourth proportional to 215,070,789,468.80, 296,789,909,315.84 and 118,724,806,592.49 is: 163,835,938,246.92
Step by Step Solution
- Step 1: Write the proportion equation
215,070,789,468.80 : 296,789,909,315.84 = 118,724,806,592.49 : x - Step 2: Convert to fraction form
215,070,789,468.80/296,789,909,315.84 = 118,724,806,592.49/x - Step 3: Cross multiply
215,070,789,468.80x = 296,789,909,315.84 × 118,724,806,592.49 - Step 4: Simplify right side
215,070,789,468.80x = 35,236,324,582,125,757,005,824 - Step 5: Solve for x
x = 35,236,324,582,125,757,005,824/215,070,789,468.80 - Step 6: Final answer
x = 163,835,938,246.92
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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.