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Finding the Fourth Proportional to 910,647,621.40, 1,365,971,432.10 and 910,647,621.40

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Solution

The fourth proportional to 910,647,621.40, 1,365,971,432.10 and 910,647,621.40 is: 1,365,971,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,647,621.40 : 1,365,971,432.10 = 910,647,621.40 : x
  2. Step 2: Convert to fraction form
    910,647,621.40/1,365,971,432.10 = 910,647,621.40/x
  3. Step 3: Cross multiply
    910,647,621.40x = 1,365,971,432.10 × 910,647,621.40
  4. Step 4: Simplify right side
    910,647,621.40x = 1,243,918,635,542,216,448
  5. Step 5: Solve for x
    x = 1,243,918,635,542,216,448/910,647,621.40
  6. Step 6: Final answer
    x = 1,365,971,432.10

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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.