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Finding the Fourth Proportional to 704,600,208,003.20, 1,056,900,312,004.70 and 704,600,208,003.20

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Solution

The fourth proportional to 704,600,208,003.20, 1,056,900,312,004.70 and 704,600,208,003.20 is: 1,056,900,312,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,600,208,003.20 : 1,056,900,312,004.70 = 704,600,208,003.20 : x
  2. Step 2: Convert to fraction form
    704,600,208,003.20/1,056,900,312,004.70 = 704,600,208,003.20/x
  3. Step 3: Cross multiply
    704,600,208,003.20x = 1,056,900,312,004.70 × 704,600,208,003.20
  4. Step 4: Simplify right side
    704,600,208,003.20x = 744,692,179,677,158,467,174,400
  5. Step 5: Solve for x
    x = 744,692,179,677,158,467,174,400/704,600,208,003.20
  6. Step 6: Final answer
    x = 1,056,900,312,004.70

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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.