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Finding the Fourth Proportional to 314,460,808.40, 471,691,212.60 and 96,110,728.40

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Solution

The fourth proportional to 314,460,808.40, 471,691,212.60 and 96,110,728.40 is: 144,166,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,460,808.40 : 471,691,212.60 = 96,110,728.40 : x
  2. Step 2: Convert to fraction form
    314,460,808.40/471,691,212.60 = 96,110,728.40/x
  3. Step 3: Cross multiply
    314,460,808.40x = 471,691,212.60 × 96,110,728.40
  4. Step 4: Simplify right side
    314,460,808.40x = 45,334,586,022,865,264
  5. Step 5: Solve for x
    x = 45,334,586,022,865,264/314,460,808.40
  6. Step 6: Final answer
    x = 144,166,092.60

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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.