Finding the Fourth Proportional to 1,565,573,343,503.10, 2,348,698,025,407.70 and 476,555,497,205.80
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Solution
The fourth proportional to 1,565,573,343,503.10, 2,348,698,025,407.70 and 476,555,497,205.80 is: 714,936,135,013.61
Step by Step Solution
- Step 1: Write the proportion equation
1,565,573,343,503.10 : 2,348,698,025,407.70 = 476,555,497,205.80 : x - Step 2: Convert to fraction form
1,565,573,343,503.10/2,348,698,025,407.70 = 476,555,497,205.80/x - Step 3: Cross multiply
1,565,573,343,503.10x = 2,348,698,025,407.70 × 476,555,497,205.80 - Step 4: Simplify right side
1,565,573,343,503.10x = 1,119,284,955,284,447,214,698,496 - Step 5: Solve for x
x = 1,119,284,955,284,447,214,698,496/1,565,573,343,503.10 - Step 6: Final answer
x = 714,936,135,013.61
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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.