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Finding the Fourth Proportional to 104,816,116,464.80, 157,224,174,697.20 and 104,816,116,464.80

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Solution

The fourth proportional to 104,816,116,464.80, 157,224,174,697.20 and 104,816,116,464.80 is: 157,224,174,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,816,116,464.80 : 157,224,174,697.20 = 104,816,116,464.80 : x
  2. Step 2: Convert to fraction form
    104,816,116,464.80/157,224,174,697.20 = 104,816,116,464.80/x
  3. Step 3: Cross multiply
    104,816,116,464.80x = 157,224,174,697.20 × 104,816,116,464.80
  4. Step 4: Simplify right side
    104,816,116,464.80x = 16,479,627,406,143,777,669,120
  5. Step 5: Solve for x
    x = 16,479,627,406,143,777,669,120/104,816,116,464.80
  6. Step 6: Final answer
    x = 157,224,174,697.20

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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.