Finding the Fourth Proportional to 345,046,016,309.42, 517,624,639,917.90 and 106,280,554,328.99
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Solution
The fourth proportional to 345,046,016,309.42, 517,624,639,917.90 and 106,280,554,328.99 is: 159,437,962,081.80
Step by Step Solution
- Step 1: Write the proportion equation
345,046,016,309.42 : 517,624,639,917.90 = 106,280,554,328.99 : x - Step 2: Convert to fraction form
345,046,016,309.42/517,624,639,917.90 = 106,280,554,328.99/x - Step 3: Cross multiply
345,046,016,309.42x = 517,624,639,917.90 × 106,280,554,328.99 - Step 4: Simplify right side
345,046,016,309.42x = 55,013,433,664,818,261,262,336 - Step 5: Solve for x
x = 55,013,433,664,818,261,262,336/345,046,016,309.42 - Step 6: Final answer
x = 159,437,962,081.80
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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.