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Finding the Fourth Proportional to 617,526,009,214.80, 926,289,013,822.20 and 617,526,009,214.80

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Solution

The fourth proportional to 617,526,009,214.80, 926,289,013,822.20 and 617,526,009,214.80 is: 926,289,013,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,526,009,214.80 : 926,289,013,822.20 = 617,526,009,214.80 : x
  2. Step 2: Convert to fraction form
    617,526,009,214.80/926,289,013,822.20 = 617,526,009,214.80/x
  3. Step 3: Cross multiply
    617,526,009,214.80x = 926,289,013,822.20 × 617,526,009,214.80
  4. Step 4: Simplify right side
    617,526,009,214.80x = 572,007,558,085,135,883,567,104
  5. Step 5: Solve for x
    x = 572,007,558,085,135,883,567,104/617,526,009,214.80
  6. Step 6: Final answer
    x = 926,289,013,822.20

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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.