Finding the Fourth Proportional to 5,946,850,249,115, 8,206,653,738,421.50 and 3,310,017,966,779.20
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Solution
The fourth proportional to 5,946,850,249,115, 8,206,653,738,421.50 and 3,310,017,966,779.20 is: 4,567,825,013,813.55
Step by Step Solution
- Step 1: Write the proportion equation
5,946,850,249,115 : 8,206,653,738,421.50 = 3,310,017,966,779.20 : x - Step 2: Convert to fraction form
5,946,850,249,115/8,206,653,738,421.50 = 3,310,017,966,779.20/x - Step 3: Cross multiply
5,946,850,249,115x = 8,206,653,738,421.50 × 3,310,017,966,779.20 - Step 4: Simplify right side
5,946,850,249,115x = 27,164,171,321,310,856,744,009,728 - Step 5: Solve for x
x = 27,164,171,321,310,856,744,009,728/5,946,850,249,115 - Step 6: Final answer
x = 4,567,825,013,813.55
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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.