Finding the Fourth Proportional to 2,451,303,352,478.70, 3,676,968,773,433.80 and 817,644,362,467.65
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Solution
The fourth proportional to 2,451,303,352,478.70, 3,676,968,773,433.80 and 817,644,362,467.65 is: 1,226,471,128,319.42
Step by Step Solution
- Step 1: Write the proportion equation
2,451,303,352,478.70 : 3,676,968,773,433.80 = 817,644,362,467.65 : x - Step 2: Convert to fraction form
2,451,303,352,478.70/3,676,968,773,433.80 = 817,644,362,467.65/x - Step 3: Cross multiply
2,451,303,352,478.70x = 3,676,968,773,433.80 × 817,644,362,467.65 - Step 4: Simplify right side
2,451,303,352,478.70x = 3,006,452,788,567,736,252,891,136 - Step 5: Solve for x
x = 3,006,452,788,567,736,252,891,136/2,451,303,352,478.70 - Step 6: Final answer
x = 1,226,471,128,319.42
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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.