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Finding the Fourth Proportional to 680,467,515.40, 1,020,701,273.10 and 680,467,515.40

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Solution

The fourth proportional to 680,467,515.40, 1,020,701,273.10 and 680,467,515.40 is: 1,020,701,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,467,515.40 : 1,020,701,273.10 = 680,467,515.40 : x
  2. Step 2: Convert to fraction form
    680,467,515.40/1,020,701,273.10 = 680,467,515.40/x
  3. Step 3: Cross multiply
    680,467,515.40x = 1,020,701,273.10 × 680,467,515.40
  4. Step 4: Simplify right side
    680,467,515.40x = 694,554,059,271,973,888
  5. Step 5: Solve for x
    x = 694,554,059,271,973,888/680,467,515.40
  6. Step 6: Final answer
    x = 1,020,701,273.10

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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.