Finding the Fourth Proportional to 443,329,645,382.01, 664,927,277,505.99 and 120,657,603,431.53
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Solution
The fourth proportional to 443,329,645,382.01, 664,927,277,505.99 and 120,657,603,431.53 is: 180,968,118,409.93
Step by Step Solution
- Step 1: Write the proportion equation
443,329,645,382.01 : 664,927,277,505.99 = 120,657,603,431.53 : x - Step 2: Convert to fraction form
443,329,645,382.01/664,927,277,505.99 = 120,657,603,431.53/x - Step 3: Cross multiply
443,329,645,382.01x = 664,927,277,505.99 × 120,657,603,431.53 - Step 4: Simplify right side
443,329,645,382.01x = 80,228,531,760,124,640,886,784 - Step 5: Solve for x
x = 80,228,531,760,124,640,886,784/443,329,645,382.01 - Step 6: Final answer
x = 180,968,118,409.93
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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.