Finding the Fourth Proportional to 1,471,817,649,812.50, 2,205,869,388,466.80 and 745,931,367,051.18
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Solution
The fourth proportional to 1,471,817,649,812.50, 2,205,869,388,466.80 and 745,931,367,051.18 is: 1,117,955,861,369.79
Step by Step Solution
- Step 1: Write the proportion equation
1,471,817,649,812.50 : 2,205,869,388,466.80 = 745,931,367,051.18 : x - Step 2: Convert to fraction form
1,471,817,649,812.50/2,205,869,388,466.80 = 745,931,367,051.18/x - Step 3: Cross multiply
1,471,817,649,812.50x = 2,205,869,388,466.80 × 745,931,367,051.18 - Step 4: Simplify right side
1,471,817,649,812.50x = 1,645,427,168,475,390,599,495,680 - Step 5: Solve for x
x = 1,645,427,168,475,390,599,495,680/1,471,817,649,812.50 - Step 6: Final answer
x = 1,117,955,861,369.79
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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.