Finding the Fourth Proportional to 443,329,645,301.68, 664,927,277,385.60 and 120,657,603,351.08
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Solution
The fourth proportional to 443,329,645,301.68, 664,927,277,385.60 and 120,657,603,351.08 is: 180,968,118,289.29
Step by Step Solution
- Step 1: Write the proportion equation
443,329,645,301.68 : 664,927,277,385.60 = 120,657,603,351.08 : x - Step 2: Convert to fraction form
443,329,645,301.68/664,927,277,385.60 = 120,657,603,351.08/x - Step 3: Cross multiply
443,329,645,301.68x = 664,927,277,385.60 × 120,657,603,351.08 - Step 4: Simplify right side
443,329,645,301.68x = 80,228,531,692,105,277,374,464 - Step 5: Solve for x
x = 80,228,531,692,105,277,374,464/443,329,645,301.68 - Step 6: Final answer
x = 180,968,118,289.29
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.