Finding the Fourth Proportional to 4,176,663,000,502.80, 5,763,795,217,863.30 and 2,324,731,411,263
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Solution
The fourth proportional to 4,176,663,000,502.80, 5,763,795,217,863.30 and 2,324,731,411,263 is: 3,208,129,501,815.50
Step by Step Solution
- Step 1: Write the proportion equation
4,176,663,000,502.80 : 5,763,795,217,863.30 = 2,324,731,411,263 : x - Step 2: Convert to fraction form
4,176,663,000,502.80/5,763,795,217,863.30 = 2,324,731,411,263/x - Step 3: Cross multiply
4,176,663,000,502.80x = 5,763,795,217,863.30 × 2,324,731,411,263 - Step 4: Simplify right side
4,176,663,000,502.80x = 13,399,275,791,054,279,358,283,776 - Step 5: Solve for x
x = 13,399,275,791,054,279,358,283,776/4,176,663,000,502.80 - Step 6: Final answer
x = 3,208,129,501,815.50
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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.