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Finding the Fourth Proportional to 472,392,813.70, 659,819,389.10 and 472,392,813.70

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Solution

The fourth proportional to 472,392,813.70, 659,819,389.10 and 472,392,813.70 is: 659,819,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,813.70 : 659,819,389.10 = 472,392,813.70 : x
  2. Step 2: Convert to fraction form
    472,392,813.70/659,819,389.10 = 472,392,813.70/x
  3. Step 3: Cross multiply
    472,392,813.70x = 659,819,389.10 × 472,392,813.70
  4. Step 4: Simplify right side
    472,392,813.70x = 311,693,937,750,764,096
  5. Step 5: Solve for x
    x = 311,693,937,750,764,096/472,392,813.70
  6. Step 6: Final answer
    x = 659,819,389.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.