Finding the Fourth Proportional to 1,523,875,489,129.40, 2,102,811,489,192.20 and 882,350,457,746.40
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Solution
The fourth proportional to 1,523,875,489,129.40, 2,102,811,489,192.20 and 882,350,457,746.40 is: 1,217,564,488,226.75
Step by Step Solution
- Step 1: Write the proportion equation
1,523,875,489,129.40 : 2,102,811,489,192.20 = 882,350,457,746.40 : x - Step 2: Convert to fraction form
1,523,875,489,129.40/2,102,811,489,192.20 = 882,350,457,746.40/x - Step 3: Cross multiply
1,523,875,489,129.40x = 2,102,811,489,192.20 × 882,350,457,746.40 - Step 4: Simplify right side
1,523,875,489,129.40x = 1,855,416,680,043,126,653,452,288 - Step 5: Solve for x
x = 1,855,416,680,043,126,653,452,288/1,523,875,489,129.40 - Step 6: Final answer
x = 1,217,564,488,226.75
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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.