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Finding the Fourth Proportional to 31,590,408, 47,385,612 and 7,655,880

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Solution

The fourth proportional to 31,590,408, 47,385,612 and 7,655,880 is: 11,483,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590,408 : 47,385,612 = 7,655,880 : x
  2. Step 2: Convert to fraction form
    31,590,408/47,385,612 = 7,655,880/x
  3. Step 3: Cross multiply
    31,590,408x = 47,385,612 × 7,655,880
  4. Step 4: Simplify right side
    31,590,408x = 362,778,559,198,560
  5. Step 5: Solve for x
    x = 362,778,559,198,560/31,590,408
  6. Step 6: Final answer
    x = 11,483,820

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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.