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Finding the Fourth Proportional to 610,417,415.80, 915,682,110.90 and 201,474,465.40

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Solution

The fourth proportional to 610,417,415.80, 915,682,110.90 and 201,474,465.40 is: 302,230,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,417,415.80 : 915,682,110.90 = 201,474,465.40 : x
  2. Step 2: Convert to fraction form
    610,417,415.80/915,682,110.90 = 201,474,465.40/x
  3. Step 3: Cross multiply
    610,417,415.80x = 915,682,110.90 × 201,474,465.40
  4. Step 4: Simplify right side
    610,417,415.80x = 184,486,563,769,921,024
  5. Step 5: Solve for x
    x = 184,486,563,769,921,024/610,417,415.80
  6. Step 6: Final answer
    x = 302,230,177.24

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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.