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Finding the Fourth Proportional to 314,874,432,400.80, 472,311,648,601.20 and 314,874,432,400.80

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Solution

The fourth proportional to 314,874,432,400.80, 472,311,648,601.20 and 314,874,432,400.80 is: 472,311,648,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,874,432,400.80 : 472,311,648,601.20 = 314,874,432,400.80 : x
  2. Step 2: Convert to fraction form
    314,874,432,400.80/472,311,648,601.20 = 314,874,432,400.80/x
  3. Step 3: Cross multiply
    314,874,432,400.80x = 472,311,648,601.20 × 314,874,432,400.80
  4. Step 4: Simplify right side
    314,874,432,400.80x = 148,718,862,269,588,950,745,088
  5. Step 5: Solve for x
    x = 148,718,862,269,588,950,745,088/314,874,432,400.80
  6. Step 6: Final answer
    x = 472,311,648,601.20

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1.5x scale

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.