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Finding the Fourth Proportional to 137,642,847.80, 206,458,672.34 and 34,009,443.28

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Solution

The fourth proportional to 137,642,847.80, 206,458,672.34 and 34,009,443.28 is: 51,012,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,642,847.80 : 206,458,672.34 = 34,009,443.28 : x
  2. Step 2: Convert to fraction form
    137,642,847.80/206,458,672.34 = 34,009,443.28/x
  3. Step 3: Cross multiply
    137,642,847.80x = 206,458,672.34 × 34,009,443.28
  4. Step 4: Simplify right side
    137,642,847.80x = 7,021,544,506,180,213
  5. Step 5: Solve for x
    x = 7,021,544,506,180,213/137,642,847.80
  6. Step 6: Final answer
    x = 51,012,781.40

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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.