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Finding the Fourth Proportional to 511,287,631.80, 766,931,447.70 and 511,287,631.80

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Solution

The fourth proportional to 511,287,631.80, 766,931,447.70 and 511,287,631.80 is: 766,931,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,287,631.80 : 766,931,447.70 = 511,287,631.80 : x
  2. Step 2: Convert to fraction form
    511,287,631.80/766,931,447.70 = 511,287,631.80/x
  3. Step 3: Cross multiply
    511,287,631.80x = 766,931,447.70 × 511,287,631.80
  4. Step 4: Simplify right side
    511,287,631.80x = 392,122,563,647,478,592
  5. Step 5: Solve for x
    x = 392,122,563,647,478,592/511,287,631.80
  6. Step 6: Final answer
    x = 766,931,447.70

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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.