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Finding the Fourth Proportional to 314,928,320.06, 472,392,480.10 and 314,928,320.06

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Solution

The fourth proportional to 314,928,320.06, 472,392,480.10 and 314,928,320.06 is: 472,392,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,320.06 : 472,392,480.10 = 314,928,320.06 : x
  2. Step 2: Convert to fraction form
    314,928,320.06/472,392,480.10 = 314,928,320.06/x
  3. Step 3: Cross multiply
    314,928,320.06x = 472,392,480.10 × 314,928,320.06
  4. Step 4: Simplify right side
    314,928,320.06x = 148,769,770,166,869,984
  5. Step 5: Solve for x
    x = 148,769,770,166,869,984/314,928,320.06
  6. Step 6: Final answer
    x = 472,392,480.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.