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Finding the Fourth Proportional to 478,224,142.80, 716,202,473.40 and 478,224,142.80

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Solution

The fourth proportional to 478,224,142.80, 716,202,473.40 and 478,224,142.80 is: 716,202,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,224,142.80 : 716,202,473.40 = 478,224,142.80 : x
  2. Step 2: Convert to fraction form
    478,224,142.80/716,202,473.40 = 478,224,142.80/x
  3. Step 3: Cross multiply
    478,224,142.80x = 716,202,473.40 × 478,224,142.80
  4. Step 4: Simplify right side
    478,224,142.80x = 342,505,313,912,954,816
  5. Step 5: Solve for x
    x = 342,505,313,912,954,816/478,224,142.80
  6. Step 6: Final answer
    x = 716,202,473.40

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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.