Finding the Fourth Proportional to 604,662,838,276.80, 906,994,257,415.20 and 185,849,916,830.40
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Solution
The fourth proportional to 604,662,838,276.80, 906,994,257,415.20 and 185,849,916,830.40 is: 278,774,875,245.60
Step by Step Solution
- Step 1: Write the proportion equation
604,662,838,276.80 : 906,994,257,415.20 = 185,849,916,830.40 : x - Step 2: Convert to fraction form
604,662,838,276.80/906,994,257,415.20 = 185,849,916,830.40/x - Step 3: Cross multiply
604,662,838,276.80x = 906,994,257,415.20 × 185,849,916,830.40 - Step 4: Simplify right side
604,662,838,276.80x = 168,564,807,306,265,308,954,624 - Step 5: Solve for x
x = 168,564,807,306,265,308,954,624/604,662,838,276.80 - Step 6: Final answer
x = 278,774,875,245.60
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1.5x scale
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.