Finding the Fourth Proportional to 42,130,158,461.68, 63,188,510,643.60 and 12,277,506,731.84
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Solution
The fourth proportional to 42,130,158,461.68, 63,188,510,643.60 and 12,277,506,731.84 is: 18,414,299,711.39
Step by Step Solution
- Step 1: Write the proportion equation
42,130,158,461.68 : 63,188,510,643.60 = 12,277,506,731.84 : x - Step 2: Convert to fraction form
42,130,158,461.68/63,188,510,643.60 = 12,277,506,731.84/x - Step 3: Cross multiply
42,130,158,461.68x = 63,188,510,643.60 × 12,277,506,731.84 - Step 4: Simplify right side
42,130,158,461.68x = 775,797,364,801,742,438,400 - Step 5: Solve for x
x = 775,797,364,801,742,438,400/42,130,158,461.68 - Step 6: Final answer
x = 18,414,299,711.39
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1.5x scale
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.