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Finding the Fourth Proportional to 85,619,333,676.30, 128,429,000,514.45 and 85,619,333,676.30

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Solution

The fourth proportional to 85,619,333,676.30, 128,429,000,514.45 and 85,619,333,676.30 is: 128,429,000,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,619,333,676.30 : 128,429,000,514.45 = 85,619,333,676.30 : x
  2. Step 2: Convert to fraction form
    85,619,333,676.30/128,429,000,514.45 = 85,619,333,676.30/x
  3. Step 3: Cross multiply
    85,619,333,676.30x = 128,429,000,514.45 × 85,619,333,676.30
  4. Step 4: Simplify right side
    85,619,333,676.30x = 10,996,005,448,760,399,233,024
  5. Step 5: Solve for x
    x = 10,996,005,448,760,399,233,024/85,619,333,676.30
  6. Step 6: Final answer
    x = 128,429,000,514.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.