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Finding the Fourth Proportional to 604,368,457.40, 906,552,686.10 and 472,854,524.60

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Solution

The fourth proportional to 604,368,457.40, 906,552,686.10 and 472,854,524.60 is: 709,281,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,368,457.40 : 906,552,686.10 = 472,854,524.60 : x
  2. Step 2: Convert to fraction form
    604,368,457.40/906,552,686.10 = 472,854,524.60/x
  3. Step 3: Cross multiply
    604,368,457.40x = 906,552,686.10 × 472,854,524.60
  4. Step 4: Simplify right side
    604,368,457.40x = 428,667,539,410,668,544
  5. Step 5: Solve for x
    x = 428,667,539,410,668,544/604,368,457.40
  6. Step 6: Final answer
    x = 709,281,786.90

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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.