Finding the Fourth Proportional to 735,141,106.40, 1,029,962,824 and 735,141,106.40
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Solution
The fourth proportional to 735,141,106.40, 1,029,962,824 and 735,141,106.40 is: 1,029,962,824
Step by Step Solution
- Step 1: Write the proportion equation
735,141,106.40 : 1,029,962,824 = 735,141,106.40 : x - Step 2: Convert to fraction form
735,141,106.40/1,029,962,824 = 735,141,106.40/x - Step 3: Cross multiply
735,141,106.40x = 1,029,962,824 × 735,141,106.40 - Step 4: Simplify right side
735,141,106.40x = 757,168,009,986,228,480 - Step 5: Solve for x
x = 757,168,009,986,228,480/735,141,106.40 - Step 6: Final answer
x = 1,029,962,824
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.