Finding the Fourth Proportional to 949,229,724,781.26, 1,310,049,319,604 and 563,855,593,201.02
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Solution
The fourth proportional to 949,229,724,781.26, 1,310,049,319,604 and 563,855,593,201.02 is: 778,187,426,018.64
Step by Step Solution
- Step 1: Write the proportion equation
949,229,724,781.26 : 1,310,049,319,604 = 563,855,593,201.02 : x - Step 2: Convert to fraction form
949,229,724,781.26/1,310,049,319,604 = 563,855,593,201.02/x - Step 3: Cross multiply
949,229,724,781.26x = 1,310,049,319,604 × 563,855,593,201.02 - Step 4: Simplify right side
949,229,724,781.26x = 738,678,636,227,906,110,488,576 - Step 5: Solve for x
x = 738,678,636,227,906,110,488,576/949,229,724,781.26 - Step 6: Final answer
x = 778,187,426,018.64
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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.