Finding the Fourth Proportional to 2,078,052,503,875.10, 3,114,896,765,843.80 and 699,177,805,303.20
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Solution
The fourth proportional to 2,078,052,503,875.10, 3,114,896,765,843.80 and 699,177,805,303.20 is: 1,048,032,559,537.10
Step by Step Solution
- Step 1: Write the proportion equation
2,078,052,503,875.10 : 3,114,896,765,843.80 = 699,177,805,303.20 : x - Step 2: Convert to fraction form
2,078,052,503,875.10/3,114,896,765,843.80 = 699,177,805,303.20/x - Step 3: Cross multiply
2,078,052,503,875.10x = 3,114,896,765,843.80 × 699,177,805,303.20 - Step 4: Simplify right side
2,078,052,503,875.10x = 2,177,866,684,488,703,369,281,536 - Step 5: Solve for x
x = 2,177,866,684,488,703,369,281,536/2,078,052,503,875.10 - Step 6: Final answer
x = 1,048,032,559,537.10
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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.