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Finding the Fourth Proportional to 346,296,120, 477,903,667.68 and 191,771,448

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Solution

The fourth proportional to 346,296,120, 477,903,667.68 and 191,771,448 is: 264,652,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,296,120 : 477,903,667.68 = 191,771,448 : x
  2. Step 2: Convert to fraction form
    346,296,120/477,903,667.68 = 191,771,448/x
  3. Step 3: Cross multiply
    346,296,120x = 477,903,667.68 × 191,771,448
  4. Step 4: Simplify right side
    346,296,120x = 91,648,278,355,504,400
  5. Step 5: Solve for x
    x = 91,648,278,355,504,400/346,296,120
  6. Step 6: Final answer
    x = 264,652,917.15

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Why These Related Problems?

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