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Finding the Fourth Proportional to 474,984,006.30, 712,476,009.45 and 474,984,006.30

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Solution

The fourth proportional to 474,984,006.30, 712,476,009.45 and 474,984,006.30 is: 712,476,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,984,006.30 : 712,476,009.45 = 474,984,006.30 : x
  2. Step 2: Convert to fraction form
    474,984,006.30/712,476,009.45 = 474,984,006.30/x
  3. Step 3: Cross multiply
    474,984,006.30x = 712,476,009.45 × 474,984,006.30
  4. Step 4: Simplify right side
    474,984,006.30x = 338,414,709,361,197,696
  5. Step 5: Solve for x
    x = 338,414,709,361,197,696/474,984,006.30
  6. Step 6: Final answer
    x = 712,476,009.45

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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.