Finding the Fourth Proportional to 188,446,636,014.24, 260,057,201,217.84 and 102,807,342,248.16
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Solution
The fourth proportional to 188,446,636,014.24, 260,057,201,217.84 and 102,807,342,248.16 is: 141,874,592,485.06
Step by Step Solution
- Step 1: Write the proportion equation
188,446,636,014.24 : 260,057,201,217.84 = 102,807,342,248.16 : x - Step 2: Convert to fraction form
188,446,636,014.24/260,057,201,217.84 = 102,807,342,248.16/x - Step 3: Cross multiply
188,446,636,014.24x = 260,057,201,217.84 × 102,807,342,248.16 - Step 4: Simplify right side
188,446,636,014.24x = 26,735,789,689,701,088,100,352 - Step 5: Solve for x
x = 26,735,789,689,701,088,100,352/188,446,636,014.24 - Step 6: Final answer
x = 141,874,592,485.06
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.