Finding the Fourth Proportional to 30,343,842,492,873, 45,524,704,872,598 and 12,223,724,038,733
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Solution
The fourth proportional to 30,343,842,492,873, 45,524,704,872,598 and 12,223,724,038,733 is: 18,339,187,907,335.89
Step by Step Solution
- Step 1: Write the proportion equation
30,343,842,492,873 : 45,524,704,872,598 = 12,223,724,038,733 : x - Step 2: Convert to fraction form
30,343,842,492,873/45,524,704,872,598 = 12,223,724,038,733/x - Step 3: Cross multiply
30,343,842,492,873x = 45,524,704,872,598 × 12,223,724,038,733 - Step 4: Simplify right side
30,343,842,492,873x = 556,481,429,307,401,527,579,639,808 - Step 5: Solve for x
x = 556,481,429,307,401,527,579,639,808/30,343,842,492,873 - Step 6: Final answer
x = 18,339,187,907,335.89
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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.