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Finding the Fourth Proportional to 310,286,463,388.53, 465,429,695,082.78 and 310,286,463,388.53

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Solution

The fourth proportional to 310,286,463,388.53, 465,429,695,082.78 and 310,286,463,388.53 is: 465,429,695,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,286,463,388.53 : 465,429,695,082.78 = 310,286,463,388.53 : x
  2. Step 2: Convert to fraction form
    310,286,463,388.53/465,429,695,082.78 = 310,286,463,388.53/x
  3. Step 3: Cross multiply
    310,286,463,388.53x = 465,429,695,082.78 × 310,286,463,388.53
  4. Step 4: Simplify right side
    310,286,463,388.53x = 144,416,534,043,237,728,387,072
  5. Step 5: Solve for x
    x = 144,416,534,043,237,728,387,072/310,286,463,388.53
  6. Step 6: Final answer
    x = 465,429,695,082.78

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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.