Finding the Fourth Proportional to 930,564,833,523.12, 1,396,271,371,498.90 and 477,601,827,511.08
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Solution
The fourth proportional to 930,564,833,523.12, 1,396,271,371,498.90 and 477,601,827,511.08 is: 716,620,416,660.85
Step by Step Solution
- Step 1: Write the proportion equation
930,564,833,523.12 : 1,396,271,371,498.90 = 477,601,827,511.08 : x - Step 2: Convert to fraction form
930,564,833,523.12/1,396,271,371,498.90 = 477,601,827,511.08/x - Step 3: Cross multiply
930,564,833,523.12x = 1,396,271,371,498.90 × 477,601,827,511.08 - Step 4: Simplify right side
930,564,833,523.12x = 666,861,758,729,276,666,937,344 - Step 5: Solve for x
x = 666,861,758,729,276,666,937,344/930,564,833,523.12 - Step 6: Final answer
x = 716,620,416,660.85
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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.