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Finding the Fourth Proportional to 274,720,005.80, 412,080,008.70 and 70,264,082.60

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Solution

The fourth proportional to 274,720,005.80, 412,080,008.70 and 70,264,082.60 is: 105,396,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,720,005.80 : 412,080,008.70 = 70,264,082.60 : x
  2. Step 2: Convert to fraction form
    274,720,005.80/412,080,008.70 = 70,264,082.60/x
  3. Step 3: Cross multiply
    274,720,005.80x = 412,080,008.70 × 70,264,082.60
  4. Step 4: Simplify right side
    274,720,005.80x = 28,954,423,769,105,516
  5. Step 5: Solve for x
    x = 28,954,423,769,105,516/274,720,005.80
  6. Step 6: Final answer
    x = 105,396,123.90

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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.