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Finding the Fourth Proportional to 344,307,672.30, 516,461,508.45 and 344,307,672.30

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Solution

The fourth proportional to 344,307,672.30, 516,461,508.45 and 344,307,672.30 is: 516,461,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,307,672.30 : 516,461,508.45 = 344,307,672.30 : x
  2. Step 2: Convert to fraction form
    344,307,672.30/516,461,508.45 = 344,307,672.30/x
  3. Step 3: Cross multiply
    344,307,672.30x = 516,461,508.45 × 344,307,672.30
  4. Step 4: Simplify right side
    344,307,672.30x = 177,821,659,806,966,272
  5. Step 5: Solve for x
    x = 177,821,659,806,966,272/344,307,672.30
  6. Step 6: Final answer
    x = 516,461,508.45

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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.