Finding the Fourth Proportional to 9,564,285,971.12, 14,350,572,129.76 and 5,137,540,101.95
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Solution
The fourth proportional to 9,564,285,971.12, 14,350,572,129.76 and 5,137,540,101.95 is: 7,708,535,694.68
Step by Step Solution
- Step 1: Write the proportion equation
9,564,285,971.12 : 14,350,572,129.76 = 5,137,540,101.95 : x - Step 2: Convert to fraction form
9,564,285,971.12/14,350,572,129.76 = 5,137,540,101.95/x - Step 3: Cross multiply
9,564,285,971.12x = 14,350,572,129.76 × 5,137,540,101.95 - Step 4: Simplify right side
9,564,285,971.12x = 73,726,639,802,480,852,992 - Step 5: Solve for x
x = 73,726,639,802,480,852,992/9,564,285,971.12 - Step 6: Final answer
x = 7,708,535,694.68
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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.