Finding the Fourth Proportional to 495,336,456,498.02, 683,553,595,981.65 and 286,772,174,398.99
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Solution
The fourth proportional to 495,336,456,498.02, 683,553,595,981.65 and 286,772,174,398.99 is: 395,739,397,870.65
Step by Step Solution
- Step 1: Write the proportion equation
495,336,456,498.02 : 683,553,595,981.65 = 286,772,174,398.99 : x - Step 2: Convert to fraction form
495,336,456,498.02/683,553,595,981.65 = 286,772,174,398.99/x - Step 3: Cross multiply
495,336,456,498.02x = 683,553,595,981.65 × 286,772,174,398.99 - Step 4: Simplify right side
495,336,456,498.02x = 196,024,151,037,906,492,850,176 - Step 5: Solve for x
x = 196,024,151,037,906,492,850,176/495,336,456,498.02 - Step 6: Final answer
x = 395,739,397,870.65
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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.