Finding the Fourth Proportional to 4,553,700,931,953.60, 6,830,310,829,951.50 and 1,493,650,453,543
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Solution
The fourth proportional to 4,553,700,931,953.60, 6,830,310,829,951.50 and 1,493,650,453,543 is: 2,240,396,772,086.63
Step by Step Solution
- Step 1: Write the proportion equation
4,553,700,931,953.60 : 6,830,310,829,951.50 = 1,493,650,453,543 : x - Step 2: Convert to fraction form
4,553,700,931,953.60/6,830,310,829,951.50 = 1,493,650,453,543/x - Step 3: Cross multiply
4,553,700,931,953.60x = 6,830,310,829,951.50 × 1,493,650,453,543 - Step 4: Simplify right side
4,553,700,931,953.60x = 10,202,096,868,996,722,678,824,960 - Step 5: Solve for x
x = 10,202,096,868,996,722,678,824,960/4,553,700,931,953.60 - Step 6: Final answer
x = 2,240,396,772,086.63
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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.