Finding the Fourth Proportional to 736,430,940,830.05, 1,016,127,305,425.40 and 411,220,194,178.95
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Solution
The fourth proportional to 736,430,940,830.05, 1,016,127,305,425.40 and 411,220,194,178.95 is: 567,401,564,329.43
Step by Step Solution
- Step 1: Write the proportion equation
736,430,940,830.05 : 1,016,127,305,425.40 = 411,220,194,178.95 : x - Step 2: Convert to fraction form
736,430,940,830.05/1,016,127,305,425.40 = 411,220,194,178.95/x - Step 3: Cross multiply
736,430,940,830.05x = 1,016,127,305,425.40 × 411,220,194,178.95 - Step 4: Simplify right side
736,430,940,830.05x = 417,852,067,847,566,239,203,328 - Step 5: Solve for x
x = 417,852,067,847,566,239,203,328/736,430,940,830.05 - Step 6: Final answer
x = 567,401,564,329.43
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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.