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Finding the Fourth Proportional to 288,941,904,417.60, 433,412,856,626.40 and 288,941,904,417.60

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Solution

The fourth proportional to 288,941,904,417.60, 433,412,856,626.40 and 288,941,904,417.60 is: 433,412,856,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,941,904,417.60 : 433,412,856,626.40 = 288,941,904,417.60 : x
  2. Step 2: Convert to fraction form
    288,941,904,417.60/433,412,856,626.40 = 288,941,904,417.60/x
  3. Step 3: Cross multiply
    288,941,904,417.60x = 433,412,856,626.40 × 288,941,904,417.60
  4. Step 4: Simplify right side
    288,941,904,417.60x = 125,231,136,192,704,230,195,200
  5. Step 5: Solve for x
    x = 125,231,136,192,704,230,195,200/288,941,904,417.60
  6. Step 6: Final answer
    x = 433,412,856,626.40

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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.