Finding the Fourth Proportional to 27,207,800,014,952, 40,840,742,799,724 and 11,725,975,402,430
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Solution
The fourth proportional to 27,207,800,014,952, 40,840,742,799,724 and 11,725,975,402,430 is: 17,601,479,914,706.68
Step by Step Solution
- Step 1: Write the proportion equation
27,207,800,014,952 : 40,840,742,799,724 = 11,725,975,402,430 : x - Step 2: Convert to fraction form
27,207,800,014,952/40,840,742,799,724 = 11,725,975,402,430/x - Step 3: Cross multiply
27,207,800,014,952x = 40,840,742,799,724 × 11,725,975,402,430 - Step 4: Simplify right side
27,207,800,014,952x = 478,897,545,486,533,779,183,894,528 - Step 5: Solve for x
x = 478,897,545,486,533,779,183,894,528/27,207,800,014,952 - Step 6: Final answer
x = 17,601,479,914,706.68
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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.