Finding the Fourth Proportional to 106,943,541,631.68, 160,420,640,796.48 and 40,699,772,126.40
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Solution
The fourth proportional to 106,943,541,631.68, 160,420,640,796.48 and 40,699,772,126.40 is: 61,051,686,012.74
Step by Step Solution
- Step 1: Write the proportion equation
106,943,541,631.68 : 160,420,640,796.48 = 40,699,772,126.40 : x - Step 2: Convert to fraction form
106,943,541,631.68/160,420,640,796.48 = 40,699,772,126.40/x - Step 3: Cross multiply
106,943,541,631.68x = 160,420,640,796.48 × 40,699,772,126.40 - Step 4: Simplify right side
106,943,541,631.68x = 6,529,083,524,787,803,783,168 - Step 5: Solve for x
x = 6,529,083,524,787,803,783,168/106,943,541,631.68 - Step 6: Final answer
x = 61,051,686,012.74
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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.