Finding the Fourth Proportional to 448,456,616,280.60, 672,686,669,638.71 and 108,495,248,847.23
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Solution
The fourth proportional to 448,456,616,280.60, 672,686,669,638.71 and 108,495,248,847.23 is: 162,743,295,491.93
Step by Step Solution
- Step 1: Write the proportion equation
448,456,616,280.60 : 672,686,669,638.71 = 108,495,248,847.23 : x - Step 2: Convert to fraction form
448,456,616,280.60/672,686,669,638.71 = 108,495,248,847.23/x - Step 3: Cross multiply
448,456,616,280.60x = 672,686,669,638.71 × 108,495,248,847.23 - Step 4: Simplify right side
448,456,616,280.60x = 72,983,307,618,666,231,627,776 - Step 5: Solve for x
x = 72,983,307,618,666,231,627,776/448,456,616,280.60 - Step 6: Final answer
x = 162,743,295,491.93
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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.