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Finding the Fourth Proportional to 315,103,683.85, 471,805,220.17 and 315,103,683.85

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Solution

The fourth proportional to 315,103,683.85, 471,805,220.17 and 315,103,683.85 is: 471,805,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,103,683.85 : 471,805,220.17 = 315,103,683.85 : x
  2. Step 2: Convert to fraction form
    315,103,683.85/471,805,220.17 = 315,103,683.85/x
  3. Step 3: Cross multiply
    315,103,683.85x = 471,805,220.17 × 315,103,683.85
  4. Step 4: Simplify right side
    315,103,683.85x = 148,667,562,935,227,328
  5. Step 5: Solve for x
    x = 148,667,562,935,227,328/315,103,683.85
  6. Step 6: Final answer
    x = 471,805,220.17

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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.