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Finding the Fourth Proportional to 102,312,864.80, 153,469,297.20 and 102,312,864.80

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Solution

The fourth proportional to 102,312,864.80, 153,469,297.20 and 102,312,864.80 is: 153,469,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,312,864.80 : 153,469,297.20 = 102,312,864.80 : x
  2. Step 2: Convert to fraction form
    102,312,864.80/153,469,297.20 = 102,312,864.80/x
  3. Step 3: Cross multiply
    102,312,864.80x = 153,469,297.20 × 102,312,864.80
  4. Step 4: Simplify right side
    102,312,864.80x = 15,701,883,455,374,616
  5. Step 5: Solve for x
    x = 15,701,883,455,374,616/102,312,864.80
  6. Step 6: Final answer
    x = 153,469,297.20

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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.