Finding the Fourth Proportional to 1,475,645,753,640.80, 2,213,468,630,461.20 and 880,078,106,511.20
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Solution
The fourth proportional to 1,475,645,753,640.80, 2,213,468,630,461.20 and 880,078,106,511.20 is: 1,320,117,159,766.80
Step by Step Solution
- Step 1: Write the proportion equation
1,475,645,753,640.80 : 2,213,468,630,461.20 = 880,078,106,511.20 : x - Step 2: Convert to fraction form
1,475,645,753,640.80/2,213,468,630,461.20 = 880,078,106,511.20/x - Step 3: Cross multiply
1,475,645,753,640.80x = 2,213,468,630,461.20 × 880,078,106,511.20 - Step 4: Simplify right side
1,475,645,753,640.80x = 1,948,025,281,118,232,125,636,608 - Step 5: Solve for x
x = 1,948,025,281,118,232,125,636,608/1,475,645,753,640.80 - Step 6: Final answer
x = 1,320,117,159,766.80
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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.