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Finding the Fourth Proportional to 344,042,694.15, 516,064,041.23 and 344,042,694.15

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Solution

The fourth proportional to 344,042,694.15, 516,064,041.23 and 344,042,694.15 is: 516,064,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,042,694.15 : 516,064,041.23 = 344,042,694.15 : x
  2. Step 2: Convert to fraction form
    344,042,694.15/516,064,041.23 = 344,042,694.15/x
  3. Step 3: Cross multiply
    344,042,694.15x = 516,064,041.23 × 344,042,694.15
  4. Step 4: Simplify right side
    344,042,694.15x = 177,548,063,096,985,664
  5. Step 5: Solve for x
    x = 177,548,063,096,985,664/344,042,694.15
  6. Step 6: Final answer
    x = 516,064,041.23

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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.