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Finding the Fourth Proportional to 83,909,112,074.85, 125,863,668,112.28 and 83,909,112,074.85

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Solution

The fourth proportional to 83,909,112,074.85, 125,863,668,112.28 and 83,909,112,074.85 is: 125,863,668,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,909,112,074.85 : 125,863,668,112.28 = 83,909,112,074.85 : x
  2. Step 2: Convert to fraction form
    83,909,112,074.85/125,863,668,112.28 = 83,909,112,074.85/x
  3. Step 3: Cross multiply
    83,909,112,074.85x = 125,863,668,112.28 × 83,909,112,074.85
  4. Step 4: Simplify right side
    83,909,112,074.85x = 10,561,108,633,785,026,478,080
  5. Step 5: Solve for x
    x = 10,561,108,633,785,026,478,080/83,909,112,074.85
  6. Step 6: Final answer
    x = 125,863,668,112.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.