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Finding the Fourth Proportional to 538,104,006.40, 805,880,551.20 and 538,104,006.40

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Solution

The fourth proportional to 538,104,006.40, 805,880,551.20 and 538,104,006.40 is: 805,880,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,104,006.40 : 805,880,551.20 = 538,104,006.40 : x
  2. Step 2: Convert to fraction form
    538,104,006.40/805,880,551.20 = 538,104,006.40/x
  3. Step 3: Cross multiply
    538,104,006.40x = 805,880,551.20 × 538,104,006.40
  4. Step 4: Simplify right side
    538,104,006.40x = 433,647,553,280,560,320
  5. Step 5: Solve for x
    x = 433,647,553,280,560,320/538,104,006.40
  6. Step 6: Final answer
    x = 805,880,551.20

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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.