Finding the Fourth Proportional to 4,121,562,492,338.40, 6,185,167,746,267.50 and 1,438,481,895,130
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Solution
The fourth proportional to 4,121,562,492,338.40, 6,185,167,746,267.50 and 1,438,481,895,130 is: 2,158,708,460,174.26
Step by Step Solution
- Step 1: Write the proportion equation
4,121,562,492,338.40 : 6,185,167,746,267.50 = 1,438,481,895,130 : x - Step 2: Convert to fraction form
4,121,562,492,338.40/6,185,167,746,267.50 = 1,438,481,895,130/x - Step 3: Cross multiply
4,121,562,492,338.40x = 6,185,167,746,267.50 × 1,438,481,895,130 - Step 4: Simplify right side
4,121,562,492,338.40x = 8,897,251,821,347,824,063,217,664 - Step 5: Solve for x
x = 8,897,251,821,347,824,063,217,664/4,121,562,492,338.40 - Step 6: Final answer
x = 2,158,708,460,174.26
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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.