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Finding the Fourth Proportional to 419,904,038.40, 586,505,164.80 and 419,904,038.40

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Solution

The fourth proportional to 419,904,038.40, 586,505,164.80 and 419,904,038.40 is: 586,505,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,038.40 : 586,505,164.80 = 419,904,038.40 : x
  2. Step 2: Convert to fraction form
    419,904,038.40/586,505,164.80 = 419,904,038.40/x
  3. Step 3: Cross multiply
    419,904,038.40x = 586,505,164.80 × 419,904,038.40
  4. Step 4: Simplify right side
    419,904,038.40x = 246,275,887,241,977,504
  5. Step 5: Solve for x
    x = 246,275,887,241,977,504/419,904,038.40
  6. Step 6: Final answer
    x = 586,505,164.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.