Home / 314,604,049.40-471,906,074.10-200,096,228.60

Finding the Fourth Proportional to 314,604,049.40, 471,906,074.10 and 200,096,228.60

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Solution

The fourth proportional to 314,604,049.40, 471,906,074.10 and 200,096,228.60 is: 300,144,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,604,049.40 : 471,906,074.10 = 200,096,228.60 : x
  2. Step 2: Convert to fraction form
    314,604,049.40/471,906,074.10 = 200,096,228.60/x
  3. Step 3: Cross multiply
    314,604,049.40x = 471,906,074.10 × 200,096,228.60
  4. Step 4: Simplify right side
    314,604,049.40x = 94,426,625,680,842,144
  5. Step 5: Solve for x
    x = 94,426,625,680,842,144/314,604,049.40
  6. Step 6: Final answer
    x = 300,144,342.90

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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.