Finding the Fourth Proportional to 443,329,645,403.20, 664,927,277,537.46 and 120,657,603,452.52
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Solution
The fourth proportional to 443,329,645,403.20, 664,927,277,537.46 and 120,657,603,452.52 is: 180,968,118,441.33
Step by Step Solution
- Step 1: Write the proportion equation
443,329,645,403.20 : 664,927,277,537.46 = 120,657,603,452.52 : x - Step 2: Convert to fraction form
443,329,645,403.20/664,927,277,537.46 = 120,657,603,452.52/x - Step 3: Cross multiply
443,329,645,403.20x = 664,927,277,537.46 × 120,657,603,452.52 - Step 4: Simplify right side
443,329,645,403.20x = 80,228,531,777,878,559,293,440 - Step 5: Solve for x
x = 80,228,531,777,878,559,293,440/443,329,645,403.20 - Step 6: Final answer
x = 180,968,118,441.33
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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.