Finding the Fourth Proportional to 1,523,875,489,130.40, 2,102,811,489,193.60 and 882,350,457,747.40
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Solution
The fourth proportional to 1,523,875,489,130.40, 2,102,811,489,193.60 and 882,350,457,747.40 is: 1,217,564,488,228.14
Step by Step Solution
- Step 1: Write the proportion equation
1,523,875,489,130.40 : 2,102,811,489,193.60 = 882,350,457,747.40 : x - Step 2: Convert to fraction form
1,523,875,489,130.40/2,102,811,489,193.60 = 882,350,457,747.40/x - Step 3: Cross multiply
1,523,875,489,130.40x = 2,102,811,489,193.60 × 882,350,457,747.40 - Step 4: Simplify right side
1,523,875,489,130.40x = 1,855,416,680,046,464,916,783,104 - Step 5: Solve for x
x = 1,855,416,680,046,464,916,783,104/1,523,875,489,130.40 - Step 6: Final answer
x = 1,217,564,488,228.14
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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.