Finding the Fourth Proportional to 399,447,218,011.84, 599,110,287,216.40 and 108,714,469,533.95
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Solution
The fourth proportional to 399,447,218,011.84, 599,110,287,216.40 and 108,714,469,533.95 is: 163,055,227,649.96
Step by Step Solution
- Step 1: Write the proportion equation
399,447,218,011.84 : 599,110,287,216.40 = 108,714,469,533.95 : x - Step 2: Convert to fraction form
399,447,218,011.84/599,110,287,216.40 = 108,714,469,533.95/x - Step 3: Cross multiply
399,447,218,011.84x = 599,110,287,216.40 × 108,714,469,533.95 - Step 4: Simplify right side
399,447,218,011.84x = 65,131,957,067,063,350,001,664 - Step 5: Solve for x
x = 65,131,957,067,063,350,001,664/399,447,218,011.84 - Step 6: Final answer
x = 163,055,227,649.96
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.