Finding the Fourth Proportional to 5,946,850,249,163, 8,206,653,738,487.50 and 3,310,017,966,827.40
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Solution
The fourth proportional to 5,946,850,249,163, 8,206,653,738,487.50 and 3,310,017,966,827.40 is: 4,567,825,013,879.93
Step by Step Solution
- Step 1: Write the proportion equation
5,946,850,249,163 : 8,206,653,738,487.50 = 3,310,017,966,827.40 : x - Step 2: Convert to fraction form
5,946,850,249,163/8,206,653,738,487.50 = 3,310,017,966,827.40/x - Step 3: Cross multiply
5,946,850,249,163x = 8,206,653,738,487.50 × 3,310,017,966,827.40 - Step 4: Simplify right side
5,946,850,249,163x = 27,164,171,321,924,873,858,580,480 - Step 5: Solve for x
x = 27,164,171,321,924,873,858,580,480/5,946,850,249,163 - Step 6: Final answer
x = 4,567,825,013,879.93
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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.