Finding the Fourth Proportional to 472,430,643.30, 708,645,964.95 and 472,430,643.30
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Solution
The fourth proportional to 472,430,643.30, 708,645,964.95 and 472,430,643.30 is: 708,645,964.95
Step by Step Solution
- Step 1: Write the proportion equation
472,430,643.30 : 708,645,964.95 = 472,430,643.30 : x - Step 2: Convert to fraction form
472,430,643.30/708,645,964.95 = 472,430,643.30/x - Step 3: Cross multiply
472,430,643.30x = 708,645,964.95 × 472,430,643.30 - Step 4: Simplify right side
472,430,643.30x = 334,786,069,093,277,760 - Step 5: Solve for x
x = 334,786,069,093,277,760/472,430,643.30 - Step 6: Final answer
x = 708,645,964.95
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1.5x scale
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.