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Finding the Fourth Proportional to 865,892,283.75, 1,194,940,756.77 and 508,675,116.41

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Solution

The fourth proportional to 865,892,283.75, 1,194,940,756.77 and 508,675,116.41 is: 701,977,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,892,283.75 : 1,194,940,756.77 = 508,675,116.41 : x
  2. Step 2: Convert to fraction form
    865,892,283.75/1,194,940,756.77 = 508,675,116.41/x
  3. Step 3: Cross multiply
    865,892,283.75x = 1,194,940,756.77 × 508,675,116.41
  4. Step 4: Simplify right side
    865,892,283.75x = 607,836,628,547,644,800
  5. Step 5: Solve for x
    x = 607,836,628,547,644,800/865,892,283.75
  6. Step 6: Final answer
    x = 701,977,185.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.