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Finding the Fourth Proportional to 511,190,657.40, 766,785,986.10 and 511,190,657.40

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Solution

The fourth proportional to 511,190,657.40, 766,785,986.10 and 511,190,657.40 is: 766,785,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,190,657.40 : 766,785,986.10 = 511,190,657.40 : x
  2. Step 2: Convert to fraction form
    511,190,657.40/766,785,986.10 = 511,190,657.40/x
  3. Step 3: Cross multiply
    511,190,657.40x = 766,785,986.10 × 511,190,657.40
  4. Step 4: Simplify right side
    511,190,657.40x = 391,973,832,319,566,272
  5. Step 5: Solve for x
    x = 391,973,832,319,566,272/511,190,657.40
  6. Step 6: Final answer
    x = 766,785,986.10

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Double scale
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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.