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Finding the Fourth Proportional to 205,662,378.90, 283,819,305.48 and 112,842,862.14

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Solution

The fourth proportional to 205,662,378.90, 283,819,305.48 and 112,842,862.14 is: 155,726,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,662,378.90 : 283,819,305.48 = 112,842,862.14 : x
  2. Step 2: Convert to fraction form
    205,662,378.90/283,819,305.48 = 112,842,862.14/x
  3. Step 3: Cross multiply
    205,662,378.90x = 283,819,305.48 × 112,842,862.14
  4. Step 4: Simplify right side
    205,662,378.90x = 32,026,982,758,966,880
  5. Step 5: Solve for x
    x = 32,026,982,758,966,880/205,662,378.90
  6. Step 6: Final answer
    x = 155,726,015.28

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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.