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Finding the Fourth Proportional to 314,928,193.80, 472,392,290.70 and 303,449,068.20

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Solution

The fourth proportional to 314,928,193.80, 472,392,290.70 and 303,449,068.20 is: 455,173,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,193.80 : 472,392,290.70 = 303,449,068.20 : x
  2. Step 2: Convert to fraction form
    314,928,193.80/472,392,290.70 = 303,449,068.20/x
  3. Step 3: Cross multiply
    314,928,193.80x = 472,392,290.70 × 303,449,068.20
  4. Step 4: Simplify right side
    314,928,193.80x = 143,347,000,437,778,512
  5. Step 5: Solve for x
    x = 143,347,000,437,778,512/314,928,193.80
  6. Step 6: Final answer
    x = 455,173,602.30

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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.