Finding the Fourth Proportional to 4,118,257,972,053, 5,683,196,929,089 and 2,266,366,126,202
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Solution
The fourth proportional to 4,118,257,972,053, 5,683,196,929,089 and 2,266,366,126,202 is: 3,127,585,764,667.77
Step by Step Solution
- Step 1: Write the proportion equation
4,118,257,972,053 : 5,683,196,929,089 = 2,266,366,126,202 : x - Step 2: Convert to fraction form
4,118,257,972,053/5,683,196,929,089 = 2,266,366,126,202/x - Step 3: Cross multiply
4,118,257,972,053x = 5,683,196,929,089 × 2,266,366,126,202 - Step 4: Simplify right side
4,118,257,972,053x = 12,880,205,008,622,540,422,119,424 - Step 5: Solve for x
x = 12,880,205,008,622,540,422,119,424/4,118,257,972,053 - Step 6: Final answer
x = 3,127,585,764,667.77
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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.