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Finding the Fourth Proportional to 565,355,103.60, 780,185,349.72 and 317,837,558.64

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Solution

The fourth proportional to 565,355,103.60, 780,185,349.72 and 317,837,558.64 is: 438,613,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,355,103.60 : 780,185,349.72 = 317,837,558.64 : x
  2. Step 2: Convert to fraction form
    565,355,103.60/780,185,349.72 = 317,837,558.64/x
  3. Step 3: Cross multiply
    565,355,103.60x = 780,185,349.72 × 317,837,558.64
  4. Step 4: Simplify right side
    565,355,103.60x = 247,972,206,841,699,392
  5. Step 5: Solve for x
    x = 247,972,206,841,699,392/565,355,103.60
  6. Step 6: Final answer
    x = 438,613,192.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.