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Finding the Fourth Proportional to 307,584,015.70, 429,811,406.30 and 307,584,015.70

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Solution

The fourth proportional to 307,584,015.70, 429,811,406.30 and 307,584,015.70 is: 429,811,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,584,015.70 : 429,811,406.30 = 307,584,015.70 : x
  2. Step 2: Convert to fraction form
    307,584,015.70/429,811,406.30 = 307,584,015.70/x
  3. Step 3: Cross multiply
    307,584,015.70x = 429,811,406.30 × 307,584,015.70
  4. Step 4: Simplify right side
    307,584,015.70x = 132,203,118,343,418,272
  5. Step 5: Solve for x
    x = 132,203,118,343,418,272/307,584,015.70
  6. Step 6: Final answer
    x = 429,811,406.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.