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Finding the Fourth Proportional to 273,113,303.60, 409,669,955.40 and 273,113,303.60

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Solution

The fourth proportional to 273,113,303.60, 409,669,955.40 and 273,113,303.60 is: 409,669,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,113,303.60 : 409,669,955.40 = 273,113,303.60 : x
  2. Step 2: Convert to fraction form
    273,113,303.60/409,669,955.40 = 273,113,303.60/x
  3. Step 3: Cross multiply
    273,113,303.60x = 409,669,955.40 × 273,113,303.60
  4. Step 4: Simplify right side
    273,113,303.60x = 111,886,314,904,958,656
  5. Step 5: Solve for x
    x = 111,886,314,904,958,656/273,113,303.60
  6. Step 6: Final answer
    x = 409,669,955.40

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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.