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Finding the Fourth Proportional to 55,427,328,004.09, 83,140,992,006.13 and 55,427,328,004.09

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Solution

The fourth proportional to 55,427,328,004.09, 83,140,992,006.13 and 55,427,328,004.09 is: 83,140,992,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,427,328,004.09 : 83,140,992,006.13 = 55,427,328,004.09 : x
  2. Step 2: Convert to fraction form
    55,427,328,004.09/83,140,992,006.13 = 55,427,328,004.09/x
  3. Step 3: Cross multiply
    55,427,328,004.09x = 83,140,992,006.13 × 55,427,328,004.09
  4. Step 4: Simplify right side
    55,427,328,004.09x = 4,608,283,034,509,191,938,048
  5. Step 5: Solve for x
    x = 4,608,283,034,509,191,938,048/55,427,328,004.09
  6. Step 6: Final answer
    x = 83,140,992,006.13

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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.