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Finding the Fourth Proportional to 704,599,398,000.30, 1,056,899,097,000.40 and 704,599,398,000.30

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Solution

The fourth proportional to 704,599,398,000.30, 1,056,899,097,000.40 and 704,599,398,000.30 is: 1,056,899,097,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,599,398,000.30 : 1,056,899,097,000.40 = 704,599,398,000.30 : x
  2. Step 2: Convert to fraction form
    704,599,398,000.30/1,056,899,097,000.40 = 704,599,398,000.30/x
  3. Step 3: Cross multiply
    704,599,398,000.30x = 1,056,899,097,000.40 × 704,599,398,000.30
  4. Step 4: Simplify right side
    704,599,398,000.30x = 744,690,467,493,542,566,559,744
  5. Step 5: Solve for x
    x = 744,690,467,493,542,566,559,744/704,599,398,000.30
  6. Step 6: Final answer
    x = 1,056,899,097,000.40

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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.