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Finding the Fourth Proportional to 316,082,258.20, 473,485,658.10 and 316,082,258.20

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Solution

The fourth proportional to 316,082,258.20, 473,485,658.10 and 316,082,258.20 is: 473,485,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,082,258.20 : 473,485,658.10 = 316,082,258.20 : x
  2. Step 2: Convert to fraction form
    316,082,258.20/473,485,658.10 = 316,082,258.20/x
  3. Step 3: Cross multiply
    316,082,258.20x = 473,485,658.10 × 316,082,258.20
  4. Step 4: Simplify right side
    316,082,258.20x = 149,660,416,037,561,120
  5. Step 5: Solve for x
    x = 149,660,416,037,561,120/316,082,258.20
  6. Step 6: Final answer
    x = 473,485,658.10

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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.