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Finding the Fourth Proportional to 314,928,318.06, 472,392,477.10 and 314,928,318.06

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Solution

The fourth proportional to 314,928,318.06, 472,392,477.10 and 314,928,318.06 is: 472,392,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,318.06 : 472,392,477.10 = 314,928,318.06 : x
  2. Step 2: Convert to fraction form
    314,928,318.06/472,392,477.10 = 314,928,318.06/x
  3. Step 3: Cross multiply
    314,928,318.06x = 472,392,477.10 × 314,928,318.06
  4. Step 4: Simplify right side
    314,928,318.06x = 148,769,768,277,300,064
  5. Step 5: Solve for x
    x = 148,769,768,277,300,064/314,928,318.06
  6. Step 6: Final answer
    x = 472,392,477.10

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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.