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Finding the Fourth Proportional to 524,169,882.82, 723,369,578.68 and 289,235,672.47

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Solution

The fourth proportional to 524,169,882.82, 723,369,578.68 and 289,235,672.47 is: 399,153,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,169,882.82 : 723,369,578.68 = 289,235,672.47 : x
  2. Step 2: Convert to fraction form
    524,169,882.82/723,369,578.68 = 289,235,672.47/x
  3. Step 3: Cross multiply
    524,169,882.82x = 723,369,578.68 × 289,235,672.47
  4. Step 4: Simplify right side
    524,169,882.82x = 209,224,286,533,487,712
  5. Step 5: Solve for x
    x = 209,224,286,533,487,712/524,169,882.82
  6. Step 6: Final answer
    x = 399,153,582.44

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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.