Home / 513,217,809.40-769,826,714.10-309,144,465.40

Finding the Fourth Proportional to 513,217,809.40, 769,826,714.10 and 309,144,465.40

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Solution

The fourth proportional to 513,217,809.40, 769,826,714.10 and 309,144,465.40 is: 463,716,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,217,809.40 : 769,826,714.10 = 309,144,465.40 : x
  2. Step 2: Convert to fraction form
    513,217,809.40/769,826,714.10 = 309,144,465.40/x
  3. Step 3: Cross multiply
    513,217,809.40x = 769,826,714.10 × 309,144,465.40
  4. Step 4: Simplify right side
    513,217,809.40x = 237,987,667,981,083,136
  5. Step 5: Solve for x
    x = 237,987,667,981,083,136/513,217,809.40
  6. Step 6: Final answer
    x = 463,716,698.10

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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.