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Finding the Fourth Proportional to 511,101,696,000.30, 766,652,544,000.45 and 511,101,696,000.30

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Solution

The fourth proportional to 511,101,696,000.30, 766,652,544,000.45 and 511,101,696,000.30 is: 766,652,544,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,101,696,000.30 : 766,652,544,000.45 = 511,101,696,000.30 : x
  2. Step 2: Convert to fraction form
    511,101,696,000.30/766,652,544,000.45 = 511,101,696,000.30/x
  3. Step 3: Cross multiply
    511,101,696,000.30x = 766,652,544,000.45 × 511,101,696,000.30
  4. Step 4: Simplify right side
    511,101,696,000.30x = 391,837,415,481,574,581,862,400
  5. Step 5: Solve for x
    x = 391,837,415,481,574,581,862,400/511,101,696,000.30
  6. Step 6: Final answer
    x = 766,652,544,000.45

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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.