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Finding the Fourth Proportional to 534,993,610.40, 802,490,415.60 and 471,858,419.60

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Solution

The fourth proportional to 534,993,610.40, 802,490,415.60 and 471,858,419.60 is: 707,787,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,993,610.40 : 802,490,415.60 = 471,858,419.60 : x
  2. Step 2: Convert to fraction form
    534,993,610.40/802,490,415.60 = 471,858,419.60/x
  3. Step 3: Cross multiply
    534,993,610.40x = 802,490,415.60 × 471,858,419.60
  4. Step 4: Simplify right side
    534,993,610.40x = 378,661,859,249,163,200
  5. Step 5: Solve for x
    x = 378,661,859,249,163,200/534,993,610.40
  6. Step 6: Final answer
    x = 707,787,629.40

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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.