Finding the Fourth Proportional to 2,534,102,249,622, 3,497,127,382,609.60 and 1,378,042,900,626.50
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Solution
The fourth proportional to 2,534,102,249,622, 3,497,127,382,609.60 and 1,378,042,900,626.50 is: 1,901,735,244,862.57
Step by Step Solution
- Step 1: Write the proportion equation
2,534,102,249,622 : 3,497,127,382,609.60 = 1,378,042,900,626.50 : x - Step 2: Convert to fraction form
2,534,102,249,622/3,497,127,382,609.60 = 1,378,042,900,626.50/x - Step 3: Cross multiply
2,534,102,249,622x = 3,497,127,382,609.60 × 1,378,042,900,626.50 - Step 4: Simplify right side
2,534,102,249,622x = 4,819,191,562,191,693,026,426,880 - Step 5: Solve for x
x = 4,819,191,562,191,693,026,426,880/2,534,102,249,622 - Step 6: Final answer
x = 1,901,735,244,862.57
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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.