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Finding the Fourth Proportional to 314,928,322.20, 441,353,147.40 and 314,928,322.20

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Solution

The fourth proportional to 314,928,322.20, 441,353,147.40 and 314,928,322.20 is: 441,353,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,322.20 : 441,353,147.40 = 314,928,322.20 : x
  2. Step 2: Convert to fraction form
    314,928,322.20/441,353,147.40 = 314,928,322.20/x
  3. Step 3: Cross multiply
    314,928,322.20x = 441,353,147.40 × 314,928,322.20
  4. Step 4: Simplify right side
    314,928,322.20x = 138,994,606,208,371,280
  5. Step 5: Solve for x
    x = 138,994,606,208,371,280/314,928,322.20
  6. Step 6: Final answer
    x = 441,353,147.40

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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.