Finding the Fourth Proportional to 45,092,476,942,907, 67,602,214,673,002 and 14,097,592,741,484
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Solution
The fourth proportional to 45,092,476,942,907, 67,602,214,673,002 and 14,097,592,741,484 is: 21,134,977,616,976.23
Step by Step Solution
- Step 1: Write the proportion equation
45,092,476,942,907 : 67,602,214,673,002 = 14,097,592,741,484 : x - Step 2: Convert to fraction form
45,092,476,942,907/67,602,214,673,002 = 14,097,592,741,484/x - Step 3: Cross multiply
45,092,476,942,907x = 67,602,214,673,002 × 14,097,592,741,484 - Step 4: Simplify right side
45,092,476,942,907x = 953,028,490,882,356,161,038,778,368 - Step 5: Solve for x
x = 953,028,490,882,356,161,038,778,368/45,092,476,942,907 - Step 6: Final answer
x = 21,134,977,616,976.23
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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.