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Finding the Fourth Proportional to 597,983,004.30, 896,974,506.45 and 597,983,004.30

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Solution

The fourth proportional to 597,983,004.30, 896,974,506.45 and 597,983,004.30 is: 896,974,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,983,004.30 : 896,974,506.45 = 597,983,004.30 : x
  2. Step 2: Convert to fraction form
    597,983,004.30/896,974,506.45 = 597,983,004.30/x
  3. Step 3: Cross multiply
    597,983,004.30x = 896,974,506.45 × 597,983,004.30
  4. Step 4: Simplify right side
    597,983,004.30x = 536,375,510,147,480,704
  5. Step 5: Solve for x
    x = 536,375,510,147,480,704/597,983,004.30
  6. Step 6: Final answer
    x = 896,974,506.45

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1.5x scale

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.