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Finding the Fourth Proportional to 746,670,583.60, 1,042,920,170 and 746,670,583.60

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Solution

The fourth proportional to 746,670,583.60, 1,042,920,170 and 746,670,583.60 is: 1,042,920,170

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,670,583.60 : 1,042,920,170 = 746,670,583.60 : x
  2. Step 2: Convert to fraction form
    746,670,583.60/1,042,920,170 = 746,670,583.60/x
  3. Step 3: Cross multiply
    746,670,583.60x = 1,042,920,170 × 746,670,583.60
  4. Step 4: Simplify right side
    746,670,583.60x = 778,717,811,982,111,232
  5. Step 5: Solve for x
    x = 778,717,811,982,111,232/746,670,583.60
  6. Step 6: Final answer
    x = 1,042,920,170

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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.