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Finding the Fourth Proportional to 151,205,345,093.80, 226,808,017,640.70 and 151,205,345,093.80

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Solution

The fourth proportional to 151,205,345,093.80, 226,808,017,640.70 and 151,205,345,093.80 is: 226,808,017,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,205,345,093.80 : 226,808,017,640.70 = 151,205,345,093.80 : x
  2. Step 2: Convert to fraction form
    151,205,345,093.80/226,808,017,640.70 = 151,205,345,093.80/x
  3. Step 3: Cross multiply
    151,205,345,093.80x = 226,808,017,640.70 × 151,205,345,093.80
  4. Step 4: Simplify right side
    151,205,345,093.80x = 34,294,584,577,402,721,009,664
  5. Step 5: Solve for x
    x = 34,294,584,577,402,721,009,664/151,205,345,093.80
  6. Step 6: Final answer
    x = 226,808,017,640.70

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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.