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Finding the Fourth Proportional to 604,477,342.80, 906,716,014.20 and 221,475,128.40

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Solution

The fourth proportional to 604,477,342.80, 906,716,014.20 and 221,475,128.40 is: 332,212,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,477,342.80 : 906,716,014.20 = 221,475,128.40 : x
  2. Step 2: Convert to fraction form
    604,477,342.80/906,716,014.20 = 221,475,128.40/x
  3. Step 3: Cross multiply
    604,477,342.80x = 906,716,014.20 × 221,475,128.40
  4. Step 4: Simplify right side
    604,477,342.80x = 200,815,045,667,281,248
  5. Step 5: Solve for x
    x = 200,815,045,667,281,248/604,477,342.80
  6. Step 6: Final answer
    x = 332,212,692.60

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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.