Finding the Fourth Proportional to 742,537,436,888.75, 1,112,669,336,271.40 and 499,614,768,968.99
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Solution
The fourth proportional to 742,537,436,888.75, 1,112,669,336,271.40 and 499,614,768,968.99 is: 748,657,247,113.86
Step by Step Solution
- Step 1: Write the proportion equation
742,537,436,888.75 : 1,112,669,336,271.40 = 499,614,768,968.99 : x - Step 2: Convert to fraction form
742,537,436,888.75/1,112,669,336,271.40 = 499,614,768,968.99/x - Step 3: Cross multiply
742,537,436,888.75x = 1,112,669,336,271.40 × 499,614,768,968.99 - Step 4: Simplify right side
742,537,436,888.75x = 555,906,033,380,114,900,713,472 - Step 5: Solve for x
x = 555,906,033,380,114,900,713,472/742,537,436,888.75 - Step 6: Final answer
x = 748,657,247,113.86
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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.