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Finding the Fourth Proportional to 766,771,809.30, 1,150,157,713.95 and 766,771,809.30

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Solution

The fourth proportional to 766,771,809.30, 1,150,157,713.95 and 766,771,809.30 is: 1,150,157,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,771,809.30 : 1,150,157,713.95 = 766,771,809.30 : x
  2. Step 2: Convert to fraction form
    766,771,809.30/1,150,157,713.95 = 766,771,809.30/x
  3. Step 3: Cross multiply
    766,771,809.30x = 1,150,157,713.95 × 766,771,809.30
  4. Step 4: Simplify right side
    766,771,809.30x = 881,908,511,305,793,280
  5. Step 5: Solve for x
    x = 881,908,511,305,793,280/766,771,809.30
  6. Step 6: Final answer
    x = 1,150,157,713.95

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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.