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Finding the Fourth Proportional to 704,599,402,450.20, 1,056,899,103,675.30 and 704,599,402,450.20

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Solution

The fourth proportional to 704,599,402,450.20, 1,056,899,103,675.30 and 704,599,402,450.20 is: 1,056,899,103,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,599,402,450.20 : 1,056,899,103,675.30 = 704,599,402,450.20 : x
  2. Step 2: Convert to fraction form
    704,599,402,450.20/1,056,899,103,675.30 = 704,599,402,450.20/x
  3. Step 3: Cross multiply
    704,599,402,450.20x = 1,056,899,103,675.30 × 704,599,402,450.20
  4. Step 4: Simplify right side
    704,599,402,450.20x = 744,690,476,899,768,308,072,448
  5. Step 5: Solve for x
    x = 744,690,476,899,768,308,072,448/704,599,402,450.20
  6. Step 6: Final answer
    x = 1,056,899,103,675.30

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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.