Finding the Fourth Proportional to 7,110,148,801,820, 9,811,997,723,239 and 3,862,211,559,202.50
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Solution
The fourth proportional to 7,110,148,801,820, 9,811,997,723,239 and 3,862,211,559,202.50 is: 5,329,847,810,760.58
Step by Step Solution
- Step 1: Write the proportion equation
7,110,148,801,820 : 9,811,997,723,239 = 3,862,211,559,202.50 : x - Step 2: Convert to fraction form
7,110,148,801,820/9,811,997,723,239 = 3,862,211,559,202.50/x - Step 3: Cross multiply
7,110,148,801,820x = 9,811,997,723,239 × 3,862,211,559,202.50 - Step 4: Simplify right side
7,110,148,801,820x = 37,896,011,025,562,276,756,193,280 - Step 5: Solve for x
x = 37,896,011,025,562,276,756,193,280/7,110,148,801,820 - Step 6: Final answer
x = 5,329,847,810,760.58
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.