Finding the Fourth Proportional to 1,609,724,476,026.80, 2,414,330,828,663.70 and 535,191,021,825.14
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Solution
The fourth proportional to 1,609,724,476,026.80, 2,414,330,828,663.70 and 535,191,021,825.14 is: 802,701,457,584.69
Step by Step Solution
- Step 1: Write the proportion equation
1,609,724,476,026.80 : 2,414,330,828,663.70 = 535,191,021,825.14 : x - Step 2: Convert to fraction form
1,609,724,476,026.80/2,414,330,828,663.70 = 535,191,021,825.14/x - Step 3: Cross multiply
1,609,724,476,026.80x = 2,414,330,828,663.70 × 535,191,021,825.14 - Step 4: Simplify right side
1,609,724,476,026.80x = 1,292,128,183,216,462,670,856,192 - Step 5: Solve for x
x = 1,292,128,183,216,462,670,856,192/1,609,724,476,026.80 - Step 6: Final answer
x = 802,701,457,584.69
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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.