Finding the Fourth Proportional to 779,432,323,834.08, 1,169,153,651,399.80 and 301,954,650,835.68
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Solution
The fourth proportional to 779,432,323,834.08, 1,169,153,651,399.80 and 301,954,650,835.68 is: 452,933,977,442.84
Step by Step Solution
- Step 1: Write the proportion equation
779,432,323,834.08 : 1,169,153,651,399.80 = 301,954,650,835.68 : x - Step 2: Convert to fraction form
779,432,323,834.08/1,169,153,651,399.80 = 301,954,650,835.68/x - Step 3: Cross multiply
779,432,323,834.08x = 1,169,153,651,399.80 × 301,954,650,835.68 - Step 4: Simplify right side
779,432,323,834.08x = 353,031,382,581,686,950,690,816 - Step 5: Solve for x
x = 353,031,382,581,686,950,690,816/779,432,323,834.08 - Step 6: Final answer
x = 452,933,977,442.84
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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.