Finding the Fourth Proportional to 514,312,251.42, 709,809,786 and 288,312,275.40
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Solution
The fourth proportional to 514,312,251.42, 709,809,786 and 288,312,275.40 is: 397,903,946.36
Step by Step Solution
- Step 1: Write the proportion equation
514,312,251.42 : 709,809,786 = 288,312,275.40 : x - Step 2: Convert to fraction form
514,312,251.42/709,809,786 = 288,312,275.40/x - Step 3: Cross multiply
514,312,251.42x = 709,809,786 × 288,312,275.40 - Step 4: Simplify right side
514,312,251.42x = 204,646,874,502,847,040 - Step 5: Solve for x
x = 204,646,874,502,847,040/514,312,251.42 - Step 6: Final answer
x = 397,903,946.36
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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.