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Finding the Fourth Proportional to 1,017,608,042.14, 1,404,465,698.14 and 847,792,984.12

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Solution

The fourth proportional to 1,017,608,042.14, 1,404,465,698.14 and 847,792,984.12 is: 1,170,093,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,608,042.14 : 1,404,465,698.14 = 847,792,984.12 : x
  2. Step 2: Convert to fraction form
    1,017,608,042.14/1,404,465,698.14 = 847,792,984.12/x
  3. Step 3: Cross multiply
    1,017,608,042.14x = 1,404,465,698.14 × 847,792,984.12
  4. Step 4: Simplify right side
    1,017,608,042.14x = 1,190,696,165,320,289,792
  5. Step 5: Solve for x
    x = 1,190,696,165,320,289,792/1,017,608,042.14
  6. Step 6: Final answer
    x = 1,170,093,116.42

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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.