Finding the Fourth Proportional to 122,808,092,334.84, 184,215,891,329.10 and 42,132,664,068.84
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Solution
The fourth proportional to 122,808,092,334.84, 184,215,891,329.10 and 42,132,664,068.84 is: 63,200,283,612.82
Step by Step Solution
- Step 1: Write the proportion equation
122,808,092,334.84 : 184,215,891,329.10 = 42,132,664,068.84 : x - Step 2: Convert to fraction form
122,808,092,334.84/184,215,891,329.10 = 42,132,664,068.84/x - Step 3: Cross multiply
122,808,092,334.84x = 184,215,891,329.10 × 42,132,664,068.84 - Step 4: Simplify right side
122,808,092,334.84x = 7,761,506,265,510,905,380,864 - Step 5: Solve for x
x = 7,761,506,265,510,905,380,864/122,808,092,334.84 - Step 6: Final answer
x = 63,200,283,612.82
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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.