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Finding the Fourth Proportional to 902,806,714.80, 1,354,210,072.20 and 765,057,207.60

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Solution

The fourth proportional to 902,806,714.80, 1,354,210,072.20 and 765,057,207.60 is: 1,147,585,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,806,714.80 : 1,354,210,072.20 = 765,057,207.60 : x
  2. Step 2: Convert to fraction form
    902,806,714.80/1,354,210,072.20 = 765,057,207.60/x
  3. Step 3: Cross multiply
    902,806,714.80x = 1,354,210,072.20 × 765,057,207.60
  4. Step 4: Simplify right side
    902,806,714.80x = 1,036,048,176,341,126,400
  5. Step 5: Solve for x
    x = 1,036,048,176,341,126,400/902,806,714.80
  6. Step 6: Final answer
    x = 1,147,585,811.40

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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.