Finding the Fourth Proportional to 284,006,110,941.63, 391,940,753,082.63 and 157,276,564,317.63
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Solution
The fourth proportional to 284,006,110,941.63, 391,940,753,082.63 and 157,276,564,317.63 is: 217,048,481,303.88
Step by Step Solution
- Step 1: Write the proportion equation
284,006,110,941.63 : 391,940,753,082.63 = 157,276,564,317.63 : x - Step 2: Convert to fraction form
284,006,110,941.63/391,940,753,082.63 = 157,276,564,317.63/x - Step 3: Cross multiply
284,006,110,941.63x = 391,940,753,082.63 × 157,276,564,317.63 - Step 4: Simplify right side
284,006,110,941.63x = 61,643,095,060,900,598,513,664 - Step 5: Solve for x
x = 61,643,095,060,900,598,513,664/284,006,110,941.63 - Step 6: Final answer
x = 217,048,481,303.88
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1.5x scale
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.