Finding the Fourth Proportional to 1,046,742,210,138, 1,444,504,252,772 and 565,565,962,800
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Solution
The fourth proportional to 1,046,742,210,138, 1,444,504,252,772 and 565,565,962,800 is: 780,481,030,166.91
Step by Step Solution
- Step 1: Write the proportion equation
1,046,742,210,138 : 1,444,504,252,772 = 565,565,962,800 : x - Step 2: Convert to fraction form
1,046,742,210,138/1,444,504,252,772 = 565,565,962,800/x - Step 3: Cross multiply
1,046,742,210,138x = 1,444,504,252,772 × 565,565,962,800 - Step 4: Simplify right side
1,046,742,210,138x = 816,962,438,487,690,727,915,520 - Step 5: Solve for x
x = 816,962,438,487,690,727,915,520/1,046,742,210,138 - Step 6: Final answer
x = 780,481,030,166.91
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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.