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Finding the Fourth Proportional to 524,452,585.68, 723,735,856.98 and 289,497,168.72

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Solution

The fourth proportional to 524,452,585.68, 723,735,856.98 and 289,497,168.72 is: 399,501,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,452,585.68 : 723,735,856.98 = 289,497,168.72 : x
  2. Step 2: Convert to fraction form
    524,452,585.68/723,735,856.98 = 289,497,168.72/x
  3. Step 3: Cross multiply
    524,452,585.68x = 723,735,856.98 × 289,497,168.72
  4. Step 4: Simplify right side
    524,452,585.68x = 209,519,481,496,852,864
  5. Step 5: Solve for x
    x = 209,519,481,496,852,864/524,452,585.68
  6. Step 6: Final answer
    x = 399,501,284.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.