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Finding the Fourth Proportional to 273,555,362,693.60, 410,333,044,040.40 and 273,555,362,693.60

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Solution

The fourth proportional to 273,555,362,693.60, 410,333,044,040.40 and 273,555,362,693.60 is: 410,333,044,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,555,362,693.60 : 410,333,044,040.40 = 273,555,362,693.60 : x
  2. Step 2: Convert to fraction form
    273,555,362,693.60/410,333,044,040.40 = 273,555,362,693.60/x
  3. Step 3: Cross multiply
    273,555,362,693.60x = 410,333,044,040.40 × 273,555,362,693.60
  4. Step 4: Simplify right side
    273,555,362,693.60x = 112,248,804,687,640,566,693,888
  5. Step 5: Solve for x
    x = 112,248,804,687,640,566,693,888/273,555,362,693.60
  6. Step 6: Final answer
    x = 410,333,044,040.40

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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.