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Finding the Fourth Proportional to 305,774,017.20, 429,292,947.60 and 305,774,017.20

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Solution

The fourth proportional to 305,774,017.20, 429,292,947.60 and 305,774,017.20 is: 429,292,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,774,017.20 : 429,292,947.60 = 305,774,017.20 : x
  2. Step 2: Convert to fraction form
    305,774,017.20/429,292,947.60 = 305,774,017.20/x
  3. Step 3: Cross multiply
    305,774,017.20x = 429,292,947.60 × 305,774,017.20
  4. Step 4: Simplify right side
    305,774,017.20x = 131,266,629,143,281,104
  5. Step 5: Solve for x
    x = 131,266,629,143,281,104/305,774,017.20
  6. Step 6: Final answer
    x = 429,292,947.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.