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Finding the Fourth Proportional to 314,928,272.67, 472,392,409.01 and 314,928,272.67

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Solution

The fourth proportional to 314,928,272.67, 472,392,409.01 and 314,928,272.67 is: 472,392,409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,272.67 : 472,392,409.01 = 314,928,272.67 : x
  2. Step 2: Convert to fraction form
    314,928,272.67/472,392,409.01 = 314,928,272.67/x
  3. Step 3: Cross multiply
    314,928,272.67x = 472,392,409.01 × 314,928,272.67
  4. Step 4: Simplify right side
    314,928,272.67x = 148,769,725,390,364,800
  5. Step 5: Solve for x
    x = 148,769,725,390,364,800/314,928,272.67
  6. Step 6: Final answer
    x = 472,392,409.01

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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.