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Finding the Fourth Proportional to 537,862,346.52, 742,242,493.14 and 299,717,568.24

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Solution

The fourth proportional to 537,862,346.52, 742,242,493.14 and 299,717,568.24 is: 413,606,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,862,346.52 : 742,242,493.14 = 299,717,568.24 : x
  2. Step 2: Convert to fraction form
    537,862,346.52/742,242,493.14 = 299,717,568.24/x
  3. Step 3: Cross multiply
    537,862,346.52x = 742,242,493.14 × 299,717,568.24
  4. Step 4: Simplify right side
    537,862,346.52x = 222,463,115,088,315,680
  5. Step 5: Solve for x
    x = 222,463,115,088,315,680/537,862,346.52
  6. Step 6: Final answer
    x = 413,606,039.78

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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.