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Finding the Fourth Proportional to 152,685,714.80, 213,306,504.40 and 152,685,714.80

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Solution

The fourth proportional to 152,685,714.80, 213,306,504.40 and 152,685,714.80 is: 213,306,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,685,714.80 : 213,306,504.40 = 152,685,714.80 : x
  2. Step 2: Convert to fraction form
    152,685,714.80/213,306,504.40 = 152,685,714.80/x
  3. Step 3: Cross multiply
    152,685,714.80x = 213,306,504.40 × 152,685,714.80
  4. Step 4: Simplify right side
    152,685,714.80x = 32,568,856,095,803,348
  5. Step 5: Solve for x
    x = 32,568,856,095,803,348/152,685,714.80
  6. Step 6: Final answer
    x = 213,306,504.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.