Finding the Fourth Proportional to 188,700,377,276.91, 260,412,159,970.93 and 103,065,382,857.99
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Solution
The fourth proportional to 188,700,377,276.91, 260,412,159,970.93 and 103,065,382,857.99 is: 142,233,308,462.84
Step by Step Solution
- Step 1: Write the proportion equation
188,700,377,276.91 : 260,412,159,970.93 = 103,065,382,857.99 : x - Step 2: Convert to fraction form
188,700,377,276.91/260,412,159,970.93 = 103,065,382,857.99/x - Step 3: Cross multiply
188,700,377,276.91x = 260,412,159,970.93 × 103,065,382,857.99 - Step 4: Simplify right side
188,700,377,276.91x = 26,839,478,968,280,040,865,792 - Step 5: Solve for x
x = 26,839,478,968,280,040,865,792/188,700,377,276.91 - Step 6: Final answer
x = 142,233,308,462.84
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1.5x scale
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.