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Finding the Fourth Proportional to 511,068,009.80, 766,602,014.70 and 365,949,187.40

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Solution

The fourth proportional to 511,068,009.80, 766,602,014.70 and 365,949,187.40 is: 548,923,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,068,009.80 : 766,602,014.70 = 365,949,187.40 : x
  2. Step 2: Convert to fraction form
    511,068,009.80/766,602,014.70 = 365,949,187.40/x
  3. Step 3: Cross multiply
    511,068,009.80x = 766,602,014.70 × 365,949,187.40
  4. Step 4: Simplify right side
    511,068,009.80x = 280,537,384,338,667,840
  5. Step 5: Solve for x
    x = 280,537,384,338,667,840/511,068,009.80
  6. Step 6: Final answer
    x = 548,923,781.10

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1.5x scale

Why These Related Problems?

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