Finding the Fourth Proportional to 873,190,506,643.65, 1,309,785,759,965.50 and 873,190,506,643.65
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Solution
The fourth proportional to 873,190,506,643.65, 1,309,785,759,965.50 and 873,190,506,643.65 is: 1,309,785,759,965.50
Step by Step Solution
- Step 1: Write the proportion equation
873,190,506,643.65 : 1,309,785,759,965.50 = 873,190,506,643.65 : x - Step 2: Convert to fraction form
873,190,506,643.65/1,309,785,759,965.50 = 873,190,506,643.65/x - Step 3: Cross multiply
873,190,506,643.65x = 1,309,785,759,965.50 × 873,190,506,643.65 - Step 4: Simplify right side
873,190,506,643.65x = 1,143,692,491,338,913,060,749,312 - Step 5: Solve for x
x = 1,143,692,491,338,913,060,749,312/873,190,506,643.65 - Step 6: Final answer
x = 1,309,785,759,965.50
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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.