Finding the Fourth Proportional to 495,336,456,502.52, 683,553,595,987.84 and 286,772,174,403.49
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Solution
The fourth proportional to 495,336,456,502.52, 683,553,595,987.84 and 286,772,174,403.49 is: 395,739,397,876.85
Step by Step Solution
- Step 1: Write the proportion equation
495,336,456,502.52 : 683,553,595,987.84 = 286,772,174,403.49 : x - Step 2: Convert to fraction form
495,336,456,502.52/683,553,595,987.84 = 286,772,174,403.49/x - Step 3: Cross multiply
495,336,456,502.52x = 683,553,595,987.84 × 286,772,174,403.49 - Step 4: Simplify right side
495,336,456,502.52x = 196,024,151,042,757,591,302,144 - Step 5: Solve for x
x = 196,024,151,042,757,591,302,144/495,336,456,502.52 - Step 6: Final answer
x = 395,739,397,876.85
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.