Finding the Fourth Proportional to 759,017,934,449.76, 1,047,464,021,742.50 and 416,461,706,643.24
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Solution
The fourth proportional to 759,017,934,449.76, 1,047,464,021,742.50 and 416,461,706,643.24 is: 574,727,729,534.50
Step by Step Solution
- Step 1: Write the proportion equation
759,017,934,449.76 : 1,047,464,021,742.50 = 416,461,706,643.24 : x - Step 2: Convert to fraction form
759,017,934,449.76/1,047,464,021,742.50 = 416,461,706,643.24/x - Step 3: Cross multiply
759,017,934,449.76x = 1,047,464,021,742.50 × 416,461,706,643.24 - Step 4: Simplify right side
759,017,934,449.76x = 436,228,654,142,273,397,719,040 - Step 5: Solve for x
x = 436,228,654,142,273,397,719,040/759,017,934,449.76 - Step 6: Final answer
x = 574,727,729,534.50
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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.