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Finding the Fourth Proportional to 511,006,190.40, 766,509,285.60 and 511,006,190.40

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Solution

The fourth proportional to 511,006,190.40, 766,509,285.60 and 511,006,190.40 is: 766,509,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,006,190.40 : 766,509,285.60 = 511,006,190.40 : x
  2. Step 2: Convert to fraction form
    511,006,190.40/766,509,285.60 = 511,006,190.40/x
  3. Step 3: Cross multiply
    511,006,190.40x = 766,509,285.60 × 511,006,190.40
  4. Step 4: Simplify right side
    511,006,190.40x = 391,690,989,940,681,600
  5. Step 5: Solve for x
    x = 391,690,989,940,681,600/511,006,190.40
  6. Step 6: Final answer
    x = 766,509,285.60

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Similar ratio
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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.