Finding the Fourth Proportional to 27,207,800,014,957, 40,840,742,799,730 and 11,725,975,402,435
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Solution
The fourth proportional to 27,207,800,014,957, 40,840,742,799,730 and 11,725,975,402,435 is: 17,601,479,914,713.54
Step by Step Solution
- Step 1: Write the proportion equation
27,207,800,014,957 : 40,840,742,799,730 = 11,725,975,402,435 : x - Step 2: Convert to fraction form
27,207,800,014,957/40,840,742,799,730 = 11,725,975,402,435/x - Step 3: Cross multiply
27,207,800,014,957x = 40,840,742,799,730 × 11,725,975,402,435 - Step 4: Simplify right side
27,207,800,014,957x = 478,897,545,486,808,313,493,454,848 - Step 5: Solve for x
x = 478,897,545,486,808,313,493,454,848/27,207,800,014,957 - Step 6: Final answer
x = 17,601,479,914,713.54
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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.