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Finding the Fourth Proportional to 524,196,071.84, 723,652,469.52 and 326,021,445.92

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Solution

The fourth proportional to 524,196,071.84, 723,652,469.52 and 326,021,445.92 is: 450,072,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,196,071.84 : 723,652,469.52 = 326,021,445.92 : x
  2. Step 2: Convert to fraction form
    524,196,071.84/723,652,469.52 = 326,021,445.92/x
  3. Step 3: Cross multiply
    524,196,071.84x = 723,652,469.52 × 326,021,445.92
  4. Step 4: Simplify right side
    524,196,071.84x = 235,926,224,456,489,120
  5. Step 5: Solve for x
    x = 235,926,224,456,489,120/524,196,071.84
  6. Step 6: Final answer
    x = 450,072,476.94

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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.